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Simplifying -7(4h + 9) = -30 + 8h Reorder the terms: -7(9 + 4h) = -30 + 8h (9 * -7 + 4h * -7) = -30 + 8h (-63 + -28h) = -30 + 8h Solving -63 + -28h = -30 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -63 + -28h + -8h = -30 + 8h + -8h Combine like terms: -28h + -8h = -36h -63 + -36h = -30 + 8h + -8h Combine like terms: 8h + -8h = 0 -63 + -36h = -30 + 0 -63 + -36h = -30 Add '63' to each side of the equation. -63 + 63 + -36h = -30 + 63 Combine like terms: -63 + 63 = 0 0 + -36h = -30 + 63 -36h = -30 + 63 Combine like terms: -30 + 63 = 33 -36h = 33 Divide each side by '-36'. h = -0.9166666667 Simplifying h = -0.9166666667
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