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Simplifying 5(3h + -3) = 3(4h + -4) Reorder the terms: 5(-3 + 3h) = 3(4h + -4) (-3 * 5 + 3h * 5) = 3(4h + -4) (-15 + 15h) = 3(4h + -4) Reorder the terms: -15 + 15h = 3(-4 + 4h) -15 + 15h = (-4 * 3 + 4h * 3) -15 + 15h = (-12 + 12h) Solving -15 + 15h = -12 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -15 + 15h + -12h = -12 + 12h + -12h Combine like terms: 15h + -12h = 3h -15 + 3h = -12 + 12h + -12h Combine like terms: 12h + -12h = 0 -15 + 3h = -12 + 0 -15 + 3h = -12 Add '15' to each side of the equation. -15 + 15 + 3h = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 3h = -12 + 15 3h = -12 + 15 Combine like terms: -12 + 15 = 3 3h = 3 Divide each side by '3'. h = 1 Simplifying h = 1
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