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Simplifying 5(-3h + 7) = -10 + 3h + 1 Reorder the terms: 5(7 + -3h) = -10 + 3h + 1 (7 * 5 + -3h * 5) = -10 + 3h + 1 (35 + -15h) = -10 + 3h + 1 Reorder the terms: 35 + -15h = -10 + 1 + 3h Combine like terms: -10 + 1 = -9 35 + -15h = -9 + 3h Solving 35 + -15h = -9 + 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. 35 + -15h + -3h = -9 + 3h + -3h Combine like terms: -15h + -3h = -18h 35 + -18h = -9 + 3h + -3h Combine like terms: 3h + -3h = 0 35 + -18h = -9 + 0 35 + -18h = -9 Add '-35' to each side of the equation. 35 + -35 + -18h = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -18h = -9 + -35 -18h = -9 + -35 Combine like terms: -9 + -35 = -44 -18h = -44 Divide each side by '-18'. h = 2.444444444 Simplifying h = 2.444444444
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