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Simplifying 5(h + -2) + -4x = 9(x + -2) Reorder the terms: 5(-2 + h) + -4x = 9(x + -2) (-2 * 5 + h * 5) + -4x = 9(x + -2) (-10 + 5h) + -4x = 9(x + -2) Reorder the terms: -10 + 5h + -4x = 9(-2 + x) -10 + 5h + -4x = (-2 * 9 + x * 9) -10 + 5h + -4x = (-18 + 9x) Solving -10 + 5h + -4x = -18 + 9x Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5h + 10 + -4x = -18 + 10 + 9x Reorder the terms: -10 + 10 + 5h + -4x = -18 + 10 + 9x Combine like terms: -10 + 10 = 0 0 + 5h + -4x = -18 + 10 + 9x 5h + -4x = -18 + 10 + 9x Combine like terms: -18 + 10 = -8 5h + -4x = -8 + 9x Add '4x' to each side of the equation. 5h + -4x + 4x = -8 + 9x + 4x Combine like terms: -4x + 4x = 0 5h + 0 = -8 + 9x + 4x 5h = -8 + 9x + 4x Combine like terms: 9x + 4x = 13x 5h = -8 + 13x Divide each side by '5'. h = -1.6 + 2.6x Simplifying h = -1.6 + 2.6x
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