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Simplifying 4 + -1(3h + 2) = 1 + -1(5 + -7h) Reorder the terms: 4 + -1(2 + 3h) = 1 + -1(5 + -7h) 4 + (2 * -1 + 3h * -1) = 1 + -1(5 + -7h) 4 + (-2 + -3h) = 1 + -1(5 + -7h) Combine like terms: 4 + -2 = 2 2 + -3h = 1 + -1(5 + -7h) 2 + -3h = 1 + (5 * -1 + -7h * -1) 2 + -3h = 1 + (-5 + 7h) Combine like terms: 1 + -5 = -4 2 + -3h = -4 + 7h Solving 2 + -3h = -4 + 7h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7h' to each side of the equation. 2 + -3h + -7h = -4 + 7h + -7h Combine like terms: -3h + -7h = -10h 2 + -10h = -4 + 7h + -7h Combine like terms: 7h + -7h = 0 2 + -10h = -4 + 0 2 + -10h = -4 Add '-2' to each side of the equation. 2 + -2 + -10h = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -10h = -4 + -2 -10h = -4 + -2 Combine like terms: -4 + -2 = -6 -10h = -6 Divide each side by '-10'. h = 0.6 Simplifying h = 0.6
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