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Simplifying 9(2h + -6) = 2(-5 + -2h) Reorder the terms: 9(-6 + 2h) = 2(-5 + -2h) (-6 * 9 + 2h * 9) = 2(-5 + -2h) (-54 + 18h) = 2(-5 + -2h) -54 + 18h = (-5 * 2 + -2h * 2) -54 + 18h = (-10 + -4h) Solving -54 + 18h = -10 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. -54 + 18h + 4h = -10 + -4h + 4h Combine like terms: 18h + 4h = 22h -54 + 22h = -10 + -4h + 4h Combine like terms: -4h + 4h = 0 -54 + 22h = -10 + 0 -54 + 22h = -10 Add '54' to each side of the equation. -54 + 54 + 22h = -10 + 54 Combine like terms: -54 + 54 = 0 0 + 22h = -10 + 54 22h = -10 + 54 Combine like terms: -10 + 54 = 44 22h = 44 Divide each side by '22'. h = 2 Simplifying h = 2
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