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Simplifying 3h + -5 = -8(6 + 5h) Reorder the terms: -5 + 3h = -8(6 + 5h) -5 + 3h = (6 * -8 + 5h * -8) -5 + 3h = (-48 + -40h) Solving -5 + 3h = -48 + -40h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '40h' to each side of the equation. -5 + 3h + 40h = -48 + -40h + 40h Combine like terms: 3h + 40h = 43h -5 + 43h = -48 + -40h + 40h Combine like terms: -40h + 40h = 0 -5 + 43h = -48 + 0 -5 + 43h = -48 Add '5' to each side of the equation. -5 + 5 + 43h = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43h = -48 + 5 43h = -48 + 5 Combine like terms: -48 + 5 = -43 43h = -43 Divide each side by '43'. h = -1 Simplifying h = -1
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