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Simplifying 3(5h + -2) = -3(h + 6) Reorder the terms: 3(-2 + 5h) = -3(h + 6) (-2 * 3 + 5h * 3) = -3(h + 6) (-6 + 15h) = -3(h + 6) Reorder the terms: -6 + 15h = -3(6 + h) -6 + 15h = (6 * -3 + h * -3) -6 + 15h = (-18 + -3h) Solving -6 + 15h = -18 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -6 + 15h + 3h = -18 + -3h + 3h Combine like terms: 15h + 3h = 18h -6 + 18h = -18 + -3h + 3h Combine like terms: -3h + 3h = 0 -6 + 18h = -18 + 0 -6 + 18h = -18 Add '6' to each side of the equation. -6 + 6 + 18h = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 18h = -18 + 6 18h = -18 + 6 Combine like terms: -18 + 6 = -12 18h = -12 Divide each side by '18'. h = -0.6666666667 Simplifying h = -0.6666666667
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