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Simplifying -6(-8h + 19) + -18 = 20 + 20h + 20h Reorder the terms: -6(19 + -8h) + -18 = 20 + 20h + 20h (19 * -6 + -8h * -6) + -18 = 20 + 20h + 20h (-114 + 48h) + -18 = 20 + 20h + 20h Reorder the terms: -114 + -18 + 48h = 20 + 20h + 20h Combine like terms: -114 + -18 = -132 -132 + 48h = 20 + 20h + 20h Combine like terms: 20h + 20h = 40h -132 + 48h = 20 + 40h Solving -132 + 48h = 20 + 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. -132 + 48h + -40h = 20 + 40h + -40h Combine like terms: 48h + -40h = 8h -132 + 8h = 20 + 40h + -40h Combine like terms: 40h + -40h = 0 -132 + 8h = 20 + 0 -132 + 8h = 20 Add '132' to each side of the equation. -132 + 132 + 8h = 20 + 132 Combine like terms: -132 + 132 = 0 0 + 8h = 20 + 132 8h = 20 + 132 Combine like terms: 20 + 132 = 152 8h = 152 Divide each side by '8'. h = 19 Simplifying h = 19
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