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Simplifying 58 = 4(-6 + -2) + 5(v + -2) Combine like terms: -6 + -2 = -8 58 = 4(-8) + 5(v + -2) Multiply 4 * -8 58 = -32 + 5(v + -2) Reorder the terms: 58 = -32 + 5(-2 + v) 58 = -32 + (-2 * 5 + v * 5) 58 = -32 + (-10 + 5v) Combine like terms: -32 + -10 = -42 58 = -42 + 5v Solving 58 = -42 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 58 + -5v = -42 + 5v + -5v Combine like terms: 5v + -5v = 0 58 + -5v = -42 + 0 58 + -5v = -42 Add '-58' to each side of the equation. 58 + -58 + -5v = -42 + -58 Combine like terms: 58 + -58 = 0 0 + -5v = -42 + -58 -5v = -42 + -58 Combine like terms: -42 + -58 = -100 -5v = -100 Divide each side by '-5'. v = 20 Simplifying v = 20
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