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Simplifying 7.8(h + -1) = 6h + 4 + 2h Reorder the terms: 7.8(-1 + h) = 6h + 4 + 2h (-1 * 7.8 + h * 7.8) = 6h + 4 + 2h (-7.8 + 7.8h) = 6h + 4 + 2h Reorder the terms: -7.8 + 7.8h = 4 + 6h + 2h Combine like terms: 6h + 2h = 8h -7.8 + 7.8h = 4 + 8h Solving -7.8 + 7.8h = 4 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -7.8 + 7.8h + -8h = 4 + 8h + -8h Combine like terms: 7.8h + -8h = -0.2h -7.8 + -0.2h = 4 + 8h + -8h Combine like terms: 8h + -8h = 0 -7.8 + -0.2h = 4 + 0 -7.8 + -0.2h = 4 Add '7.8' to each side of the equation. -7.8 + 7.8 + -0.2h = 4 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + -0.2h = 4 + 7.8 -0.2h = 4 + 7.8 Combine like terms: 4 + 7.8 = 11.8 -0.2h = 11.8 Divide each side by '-0.2'. h = -59 Simplifying h = -59
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