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Simplifying 42 + -1(3c + 4) = 2(c + 7) + c Reorder the terms: 42 + -1(4 + 3c) = 2(c + 7) + c 42 + (4 * -1 + 3c * -1) = 2(c + 7) + c 42 + (-4 + -3c) = 2(c + 7) + c Combine like terms: 42 + -4 = 38 38 + -3c = 2(c + 7) + c Reorder the terms: 38 + -3c = 2(7 + c) + c 38 + -3c = (7 * 2 + c * 2) + c 38 + -3c = (14 + 2c) + c Combine like terms: 2c + c = 3c 38 + -3c = 14 + 3c Solving 38 + -3c = 14 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 38 + -3c + -3c = 14 + 3c + -3c Combine like terms: -3c + -3c = -6c 38 + -6c = 14 + 3c + -3c Combine like terms: 3c + -3c = 0 38 + -6c = 14 + 0 38 + -6c = 14 Add '-38' to each side of the equation. 38 + -38 + -6c = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -6c = 14 + -38 -6c = 14 + -38 Combine like terms: 14 + -38 = -24 -6c = -24 Divide each side by '-6'. c = 4 Simplifying c = 4
| 3(x+2)=8(x-1) | | -3-12p=1-4(-8+6p) | | 0.25r-0.25+0.25=0.5-0.25r | | 22+5(6v+-1)=67 | | 21(2z+4)= | | 4(5x-1)=36 | | 20(8-a)= | | 3(x+1)-5=3x-5 | | 7-2(4y+5)=-2y-6y | | 7.5+2=-24 | | (6+9v)6= | | -3(4)+2(9)= | | 3(y-6)=4y-18-y | | 3(h-5)= | | 2(2)+4=18-9(2) | | 5y^2-19y-4=0 | | 12(9+2x)=5(2-5x) | | 0=x^2-x-182 | | 2(x+7)-5=2x+3 | | 2(2b+3)+2b=477 | | -x-3=x+1 | | 4x+12+6x-1=21 | | 17.28=7.2 | | w-5.43=0.96 | | 0=x^4-2x^3+x^2 | | 2/5=k/18 | | 7(y-1)-1=2+5y+3 | | 21-9=y | | 5+x= | | 7xy+6y=2x+5 | | 360+12(x)=279+15(x) | | 7+-.1k=32 |