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Simplifying 3(5v + 6) = 5[-3x + 4(x + -2)] Reorder the terms: 3(6 + 5v) = 5[-3x + 4(x + -2)] (6 * 3 + 5v * 3) = 5[-3x + 4(x + -2)] (18 + 15v) = 5[-3x + 4(x + -2)] Reorder the terms: 18 + 15v = 5[-3x + 4(-2 + x)] 18 + 15v = 5[-3x + (-2 * 4 + x * 4)] 18 + 15v = 5[-3x + (-8 + 4x)] Reorder the terms: 18 + 15v = 5[-8 + -3x + 4x] Combine like terms: -3x + 4x = 1x 18 + 15v = 5[-8 + 1x] 18 + 15v = [-8 * 5 + 1x * 5] 18 + 15v = [-40 + 5x] Solving 18 + 15v = -40 + 5x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 15v = -40 + -18 + 5x Combine like terms: 18 + -18 = 0 0 + 15v = -40 + -18 + 5x 15v = -40 + -18 + 5x Combine like terms: -40 + -18 = -58 15v = -58 + 5x Divide each side by '15'. v = -3.866666667 + 0.3333333333x Simplifying v = -3.866666667 + 0.3333333333x
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