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Simplifying -21 = -4 + 8(h + -9) Reorder the terms: -21 = -4 + 8(-9 + h) -21 = -4 + (-9 * 8 + h * 8) -21 = -4 + (-72 + 8h) Combine like terms: -4 + -72 = -76 -21 = -76 + 8h Solving -21 = -76 + 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. -21 + -8h = -76 + 8h + -8h Combine like terms: 8h + -8h = 0 -21 + -8h = -76 + 0 -21 + -8h = -76 Add '21' to each side of the equation. -21 + 21 + -8h = -76 + 21 Combine like terms: -21 + 21 = 0 0 + -8h = -76 + 21 -8h = -76 + 21 Combine like terms: -76 + 21 = -55 -8h = -55 Divide each side by '-8'. h = 6.875 Simplifying h = 6.875
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