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Simplifying 5(20k + 2) = 20 + 5(17k + 19) Reorder the terms: 5(2 + 20k) = 20 + 5(17k + 19) (2 * 5 + 20k * 5) = 20 + 5(17k + 19) (10 + 100k) = 20 + 5(17k + 19) Reorder the terms: 10 + 100k = 20 + 5(19 + 17k) 10 + 100k = 20 + (19 * 5 + 17k * 5) 10 + 100k = 20 + (95 + 85k) Combine like terms: 20 + 95 = 115 10 + 100k = 115 + 85k Solving 10 + 100k = 115 + 85k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-85k' to each side of the equation. 10 + 100k + -85k = 115 + 85k + -85k Combine like terms: 100k + -85k = 15k 10 + 15k = 115 + 85k + -85k Combine like terms: 85k + -85k = 0 10 + 15k = 115 + 0 10 + 15k = 115 Add '-10' to each side of the equation. 10 + -10 + 15k = 115 + -10 Combine like terms: 10 + -10 = 0 0 + 15k = 115 + -10 15k = 115 + -10 Combine like terms: 115 + -10 = 105 15k = 105 Divide each side by '15'. k = 7 Simplifying k = 7
| 3x^2-10x-18=0 | | 9m-10m=1+6m | | 18g-1+19g=-9(-5g-15) | | 30x^2+x=20 | | 8n-n+35=175+(-7) | | 4(4-2u)=-2(-8u+4) | | 3m+30m+75=0 | | 17+6(-3w+9)=5(-4w+13) | | x^2+x+31.25=0 | | 2x^2+8x-17=8x+15 | | 8n-4=-2+n-6-8n | | 5(x-8)-10x= | | 45=15+10n-10 | | m-.66=7 | | 20v=-2(-13v-12) | | 4(-4t+1)=-18t+18 | | m-0.66=-11 | | 46=8n-14+4n | | -6(15b-10)=5(16-19b) | | 15=6b-6b+4b-1-6b | | -5x-25=-35 | | 5c+10d+cx-2dx=0 | | (y-4)-(y+7)=8y | | -18.4f-5.51+11.2f=-13.06+7.9f | | 13d=169 | | 4(q+3)=2(q-11) | | 1t=7 | | 2x^2=5x+5 | | 2(y-3)=2(3y+7) | | 12x^2+26x+10=0 | | 13.8+8.7n=7.2n | | 4.1s+19.96=0.5s-9.32+0.48 |