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Simplifying 8(h + -1) = 6h + 42h Reorder the terms: 8(-1 + h) = 6h + 42h (-1 * 8 + h * 8) = 6h + 42h (-8 + 8h) = 6h + 42h Combine like terms: 6h + 42h = 48h -8 + 8h = 48h Solving -8 + 8h = 48h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-48h' to each side of the equation. -8 + 8h + -48h = 48h + -48h Combine like terms: 8h + -48h = -40h -8 + -40h = 48h + -48h Combine like terms: 48h + -48h = 0 -8 + -40h = 0 Add '8' to each side of the equation. -8 + 8 + -40h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -40h = 0 + 8 -40h = 0 + 8 Combine like terms: 0 + 8 = 8 -40h = 8 Divide each side by '-40'. h = -0.2 Simplifying h = -0.2
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