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Simplifying 4(5w + 3) + 3w = 7(w + 8) + -12 Reorder the terms: 4(3 + 5w) + 3w = 7(w + 8) + -12 (3 * 4 + 5w * 4) + 3w = 7(w + 8) + -12 (12 + 20w) + 3w = 7(w + 8) + -12 Combine like terms: 20w + 3w = 23w 12 + 23w = 7(w + 8) + -12 Reorder the terms: 12 + 23w = 7(8 + w) + -12 12 + 23w = (8 * 7 + w * 7) + -12 12 + 23w = (56 + 7w) + -12 Reorder the terms: 12 + 23w = 56 + -12 + 7w Combine like terms: 56 + -12 = 44 12 + 23w = 44 + 7w Solving 12 + 23w = 44 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 12 + 23w + -7w = 44 + 7w + -7w Combine like terms: 23w + -7w = 16w 12 + 16w = 44 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + 16w = 44 + 0 12 + 16w = 44 Add '-12' to each side of the equation. 12 + -12 + 16w = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 16w = 44 + -12 16w = 44 + -12 Combine like terms: 44 + -12 = 32 16w = 32 Divide each side by '16'. w = 2 Simplifying w = 2
| 9c-12=15c-12 | | 3a^2=7a | | 5a+6=-4a+-7 | | h(t)=256-16t^2 | | g(x)=2x^2-5x+2 | | x+(3/2)x=30 | | (5x^2-4x+3)+(-x^2+2x+5)= | | 5o+7=3o+5 | | m=5k-2 | | v^2-12v+21=0 | | 3G+10=-11 | | 8h=4h+12 | | 6w=w+9.5 | | S^2-2s^2-63s= | | -4=8y^2+12y | | 25x^2+10x+2=0 | | 6[t-2]-76=-142 | | (3/13)x=18 | | 5x^2+20x-60= | | -(5y+3)-(-4y-5)=-4 | | 43-14[p+7]=-97 | | 3-(5x+3)-(-4x-5)=-4 | | 2x^2+14x-88= | | 43-14[p+7]=7 | | 9x^2+12x-1= | | 0.5x=3.5 | | 43-14[p+7]=-7 | | 80+(-27)= | | (6x+6)-(-4x+7)= | | -16t^2+6t+800=0 | | 81+(-28)= | | -X+3=43-5X |