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Simplifying 7(v + -4) + 7(4v + 8) = -42 Reorder the terms: 7(-4 + v) + 7(4v + 8) = -42 (-4 * 7 + v * 7) + 7(4v + 8) = -42 (-28 + 7v) + 7(4v + 8) = -42 Reorder the terms: -28 + 7v + 7(8 + 4v) = -42 -28 + 7v + (8 * 7 + 4v * 7) = -42 -28 + 7v + (56 + 28v) = -42 Reorder the terms: -28 + 56 + 7v + 28v = -42 Combine like terms: -28 + 56 = 28 28 + 7v + 28v = -42 Combine like terms: 7v + 28v = 35v 28 + 35v = -42 Solving 28 + 35v = -42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 35v = -42 + -28 Combine like terms: 28 + -28 = 0 0 + 35v = -42 + -28 35v = -42 + -28 Combine like terms: -42 + -28 = -70 35v = -70 Divide each side by '35'. v = -2 Simplifying v = -2
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