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Simplifying 8 + 8(v + -3) = 7(v + -2) + 8 Reorder the terms: 8 + 8(-3 + v) = 7(v + -2) + 8 8 + (-3 * 8 + v * 8) = 7(v + -2) + 8 8 + (-24 + 8v) = 7(v + -2) + 8 Combine like terms: 8 + -24 = -16 -16 + 8v = 7(v + -2) + 8 Reorder the terms: -16 + 8v = 7(-2 + v) + 8 -16 + 8v = (-2 * 7 + v * 7) + 8 -16 + 8v = (-14 + 7v) + 8 Reorder the terms: -16 + 8v = -14 + 8 + 7v Combine like terms: -14 + 8 = -6 -16 + 8v = -6 + 7v Solving -16 + 8v = -6 + 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. -16 + 8v + -7v = -6 + 7v + -7v Combine like terms: 8v + -7v = 1v -16 + 1v = -6 + 7v + -7v Combine like terms: 7v + -7v = 0 -16 + 1v = -6 + 0 -16 + 1v = -6 Add '16' to each side of the equation. -16 + 16 + 1v = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 1v = -6 + 16 1v = -6 + 16 Combine like terms: -6 + 16 = 10 1v = 10 Divide each side by '1'. v = 10 Simplifying v = 10
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