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Simplifying -2(-2v + 9) + -5v = 7(v + -3) + -7 Reorder the terms: -2(9 + -2v) + -5v = 7(v + -3) + -7 (9 * -2 + -2v * -2) + -5v = 7(v + -3) + -7 (-18 + 4v) + -5v = 7(v + -3) + -7 Combine like terms: 4v + -5v = -1v -18 + -1v = 7(v + -3) + -7 Reorder the terms: -18 + -1v = 7(-3 + v) + -7 -18 + -1v = (-3 * 7 + v * 7) + -7 -18 + -1v = (-21 + 7v) + -7 Reorder the terms: -18 + -1v = -21 + -7 + 7v Combine like terms: -21 + -7 = -28 -18 + -1v = -28 + 7v Solving -18 + -1v = -28 + 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 + -1v + -7v = -28 + 7v + -7v Combine like terms: -1v + -7v = -8v -18 + -8v = -28 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -8v = -28 + 0 -18 + -8v = -28 Add '18' to each side of the equation. -18 + 18 + -8v = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -8v = -28 + 18 -8v = -28 + 18 Combine like terms: -28 + 18 = -10 -8v = -10 Divide each side by '-8'. v = 1.25 Simplifying v = 1.25
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