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Simplifying 3(4k + 7) = 8k + 5(k + 6) Reorder the terms: 3(7 + 4k) = 8k + 5(k + 6) (7 * 3 + 4k * 3) = 8k + 5(k + 6) (21 + 12k) = 8k + 5(k + 6) Reorder the terms: 21 + 12k = 8k + 5(6 + k) 21 + 12k = 8k + (6 * 5 + k * 5) 21 + 12k = 8k + (30 + 5k) Reorder the terms: 21 + 12k = 30 + 8k + 5k Combine like terms: 8k + 5k = 13k 21 + 12k = 30 + 13k Solving 21 + 12k = 30 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 21 + 12k + -13k = 30 + 13k + -13k Combine like terms: 12k + -13k = -1k 21 + -1k = 30 + 13k + -13k Combine like terms: 13k + -13k = 0 21 + -1k = 30 + 0 21 + -1k = 30 Add '-21' to each side of the equation. 21 + -21 + -1k = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -1k = 30 + -21 -1k = 30 + -21 Combine like terms: 30 + -21 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9
| -1r+1r= | | 9x+14=138 | | t/36=12/72 | | 4(3x-3)-5(x+4)=4 | | 2n-7=0 | | t/6=12/72 | | 3+3x=21 | | 7x+7=-28 | | (5x+3)(5x-7)=0 | | 2(x+1)+3(2x+2)+4(3x+3)+5(4x+4)=640 | | 0.05x+0.10(x+7)=2.35 | | 14/12=21/t | | 5x/6+1/3=2x+2/3 | | 1/4p=3/4 | | -9-3/7x=-81/7 | | 67=15+m | | 9x*12345679=888888888 | | 70x+2x=290 | | n/12=441/21 | | 81x^2+72x+16= | | 40x^2-76x-60=0 | | 9x*12345679= | | (x^3+x^2+x+1)(7x-5)= | | (4x-5)(3x+5)=0 | | (x+3)(4x-5)=15 | | 5n=-2-7(6-7n) | | -6(12/3)+7= | | -(12)+8.5= | | (3/4)f+4=(1/4)*(3f+16) | | 8-(n+4)=3n+6-2n | | 14/10=x/45 | | 64-9(4)= |