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Simplifying 3(4v + -6) = 2(4v + -3) + -1(v + -8) Reorder the terms: 3(-6 + 4v) = 2(4v + -3) + -1(v + -8) (-6 * 3 + 4v * 3) = 2(4v + -3) + -1(v + -8) (-18 + 12v) = 2(4v + -3) + -1(v + -8) Reorder the terms: -18 + 12v = 2(-3 + 4v) + -1(v + -8) -18 + 12v = (-3 * 2 + 4v * 2) + -1(v + -8) -18 + 12v = (-6 + 8v) + -1(v + -8) Reorder the terms: -18 + 12v = -6 + 8v + -1(-8 + v) -18 + 12v = -6 + 8v + (-8 * -1 + v * -1) -18 + 12v = -6 + 8v + (8 + -1v) Reorder the terms: -18 + 12v = -6 + 8 + 8v + -1v Combine like terms: -6 + 8 = 2 -18 + 12v = 2 + 8v + -1v Combine like terms: 8v + -1v = 7v -18 + 12v = 2 + 7v Solving -18 + 12v = 2 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -18 + 12v + -7v = 2 + 7v + -7v Combine like terms: 12v + -7v = 5v -18 + 5v = 2 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + 5v = 2 + 0 -18 + 5v = 2 Add '18' to each side of the equation. -18 + 18 + 5v = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5v = 2 + 18 5v = 2 + 18 Combine like terms: 2 + 18 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
| -3(2t+2)=6 | | 3(f-4)=6 | | -4(2t+5)=-28 | | ln(x^2)=0 | | 3(f-3)=-21 | | -10(s+3)=-82 | | -10(s+5)=-89 | | -(c-5)=5 | | 6(t+1)=-18 | | -(c-8)=-1 | | 24-5x=12-9x | | 3(t+4)=3 | | 20-6x=10-7x | | 2ydx+3xdy=0 | | 7(3s+7)=322 | | 8(2l+10)=112 | | 2(4s+10)=36 | | -2+4x=-3+11x | | 3(2l+4)=30 | | 3(a-7)=39 | | 2(a-8)=26 | | 2-x+8=4 | | 6x+12=-60-6x | | (u-6)*10=90 | | (u+1)*7=35 | | (q-7)*3=12 | | (q-4)*2=20 | | 3x+14=-16-3x | | (e+2)*3=21 | | 70-2x=6-10x | | -k+2k=-12-k | | (e+4)*6=30 |