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Simplifying 12 + -4(c + 3) + -1(8c + 2) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Reorder the terms: 12 + -4(3 + c) + -1(8c + 2) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) 12 + (3 * -4 + c * -4) + -1(8c + 2) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) 12 + (-12 + -4c) + -1(8c + 2) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Reorder the terms: 12 + -12 + -4c + -1(2 + 8c) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) 12 + -12 + -4c + (2 * -1 + 8c * -1) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) 12 + -12 + -4c + (-2 + -8c) + 13c + -4 + -2c + 10 = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Reorder the terms: 12 + -12 + -2 + -4 + 10 + -4c + -8c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: 12 + -12 = 0 0 + -2 + -4 + 10 + -4c + -8c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) -2 + -4 + 10 + -4c + -8c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: -2 + -4 = -6 -6 + 10 + -4c + -8c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: -6 + 10 = 4 4 + -4c + -8c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: -4c + -8c = -12c 4 + -12c + 13c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: -12c + 13c = 1c 4 + 1c + -2c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Combine like terms: 1c + -2c = -1c 4 + -1c = 5c + -1(-3c + 2) + -2(c + 3) + 6c + -5 + 7(c + 1) Reorder the terms: 4 + -1c = 5c + -1(2 + -3c) + -2(c + 3) + 6c + -5 + 7(c + 1) 4 + -1c = 5c + (2 * -1 + -3c * -1) + -2(c + 3) + 6c + -5 + 7(c + 1) 4 + -1c = 5c + (-2 + 3c) + -2(c + 3) + 6c + -5 + 7(c + 1) Reorder the terms: 4 + -1c = 5c + -2 + 3c + -2(3 + c) + 6c + -5 + 7(c + 1) 4 + -1c = 5c + -2 + 3c + (3 * -2 + c * -2) + 6c + -5 + 7(c + 1) 4 + -1c = 5c + -2 + 3c + (-6 + -2c) + 6c + -5 + 7(c + 1) Reorder the terms: 4 + -1c = 5c + -2 + 3c + -6 + -2c + 6c + -5 + 7(1 + c) 4 + -1c = 5c + -2 + 3c + -6 + -2c + 6c + -5 + (1 * 7 + c * 7) 4 + -1c = 5c + -2 + 3c + -6 + -2c + 6c + -5 + (7 + 7c) Reorder the terms: 4 + -1c = -2 + -6 + -5 + 7 + 5c + 3c + -2c + 6c + 7c Combine like terms: -2 + -6 = -8 4 + -1c = -8 + -5 + 7 + 5c + 3c + -2c + 6c + 7c Combine like terms: -8 + -5 = -13 4 + -1c = -13 + 7 + 5c + 3c + -2c + 6c + 7c Combine like terms: -13 + 7 = -6 4 + -1c = -6 + 5c + 3c + -2c + 6c + 7c Combine like terms: 5c + 3c = 8c 4 + -1c = -6 + 8c + -2c + 6c + 7c Combine like terms: 8c + -2c = 6c 4 + -1c = -6 + 6c + 6c + 7c Combine like terms: 6c + 6c = 12c 4 + -1c = -6 + 12c + 7c Combine like terms: 12c + 7c = 19c 4 + -1c = -6 + 19c Solving 4 + -1c = -6 + 19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19c' to each side of the equation. 4 + -1c + -19c = -6 + 19c + -19c Combine like terms: -1c + -19c = -20c 4 + -20c = -6 + 19c + -19c Combine like terms: 19c + -19c = 0 4 + -20c = -6 + 0 4 + -20c = -6 Add '-4' to each side of the equation. 4 + -4 + -20c = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -20c = -6 + -4 -20c = -6 + -4 Combine like terms: -6 + -4 = -10 -20c = -10 Divide each side by '-20'. c = 0.5 Simplifying c = 0.5
| 5(a-7)=25 | | -3(9+x)=33 | | 357*675= | | -z+22=4z+2 | | 0+0= | | Y=-2+8x | | 14(-9-4m)=42 | | 20x+13-12x=-43 | | 3x+8=29 | | 20b+13-12d=-43 | | -6c-12=12 | | -2(m+3)=-24 | | 2x+3y=6 | | 8d+5d-7d=-72 | | 6x-8=3x+1 | | 8x-9=2x+11 | | 7x+5=68-2x | | 77=-6x+11+3x | | 6b+7=3b+11 | | 3b+7=3b+11 | | -5-(-8)= | | -5-(-8)-13= | | 144-12j=0 | | -19-(-1)= | | 169x+13=26 | | -8-8= | | 33-11= | | 11m-121=0 | | 12-(-8)= | | -1-5= | | 11-14= | | 29-(-6)= |