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Simplifying 5(h + -5) = 8(-4h + 3) Reorder the terms: 5(-5 + h) = 8(-4h + 3) (-5 * 5 + h * 5) = 8(-4h + 3) (-25 + 5h) = 8(-4h + 3) Reorder the terms: -25 + 5h = 8(3 + -4h) -25 + 5h = (3 * 8 + -4h * 8) -25 + 5h = (24 + -32h) Solving -25 + 5h = 24 + -32h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '32h' to each side of the equation. -25 + 5h + 32h = 24 + -32h + 32h Combine like terms: 5h + 32h = 37h -25 + 37h = 24 + -32h + 32h Combine like terms: -32h + 32h = 0 -25 + 37h = 24 + 0 -25 + 37h = 24 Add '25' to each side of the equation. -25 + 25 + 37h = 24 + 25 Combine like terms: -25 + 25 = 0 0 + 37h = 24 + 25 37h = 24 + 25 Combine like terms: 24 + 25 = 49 37h = 49 Divide each side by '37'. h = 1.324324324 Simplifying h = 1.324324324
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