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Simplifying -5(3v + 18) = 7(v + 6) Reorder the terms: -5(18 + 3v) = 7(v + 6) (18 * -5 + 3v * -5) = 7(v + 6) (-90 + -15v) = 7(v + 6) Reorder the terms: -90 + -15v = 7(6 + v) -90 + -15v = (6 * 7 + v * 7) -90 + -15v = (42 + 7v) Solving -90 + -15v = 42 + 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. -90 + -15v + -7v = 42 + 7v + -7v Combine like terms: -15v + -7v = -22v -90 + -22v = 42 + 7v + -7v Combine like terms: 7v + -7v = 0 -90 + -22v = 42 + 0 -90 + -22v = 42 Add '90' to each side of the equation. -90 + 90 + -22v = 42 + 90 Combine like terms: -90 + 90 = 0 0 + -22v = 42 + 90 -22v = 42 + 90 Combine like terms: 42 + 90 = 132 -22v = 132 Divide each side by '-22'. v = -6 Simplifying v = -6
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