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Simplifying 5(1 + 3k) + 7 = 102 (1 * 5 + 3k * 5) + 7 = 102 (5 + 15k) + 7 = 102 Reorder the terms: 5 + 7 + 15k = 102 Combine like terms: 5 + 7 = 12 12 + 15k = 102 Solving 12 + 15k = 102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15k = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 15k = 102 + -12 15k = 102 + -12 Combine like terms: 102 + -12 = 90 15k = 90 Divide each side by '15'. k = 6 Simplifying k = 6
| r=-14(-8) | | 7-6(y+2)=13-4y | | 5/45=9 | | 3x^3-2x^2-9x+6=0 | | -3x+4+7x= | | 5/45=15 | | (-12)(3)=j | | 5(x+4)=3(5+2x) | | 249=48-v | | 7x-9+4x+22=90 | | g=14(36) | | 2(9x-11)=13 | | 2(7-4)^5/9] | | v=(-16)(-4) | | 1=5x-2(-x+17) | | v+6+2v=v+22 | | x*.03=129 | | 18/30=10/15 | | x*-.3=129 | | 0.2x+8.8=8.1 | | n=(-7)(-12) | | y/2-4=4 | | 4=8-x | | P-5=19 | | 18/30=9/15 | | 2x+5-4x=2-3x+x | | h=7(-15) | | 18/30=8/15 | | 18/30=7/15 | | -2=x+-2 | | 2x+4x-5=37 | | p=6(8) |