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Simplifying 4(h + -6) + 6 = 8h + -2 Reorder the terms: 4(-6 + h) + 6 = 8h + -2 (-6 * 4 + h * 4) + 6 = 8h + -2 (-24 + 4h) + 6 = 8h + -2 Reorder the terms: -24 + 6 + 4h = 8h + -2 Combine like terms: -24 + 6 = -18 -18 + 4h = 8h + -2 Reorder the terms: -18 + 4h = -2 + 8h Solving -18 + 4h = -2 + 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. -18 + 4h + -8h = -2 + 8h + -8h Combine like terms: 4h + -8h = -4h -18 + -4h = -2 + 8h + -8h Combine like terms: 8h + -8h = 0 -18 + -4h = -2 + 0 -18 + -4h = -2 Add '18' to each side of the equation. -18 + 18 + -4h = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -4h = -2 + 18 -4h = -2 + 18 Combine like terms: -2 + 18 = 16 -4h = 16 Divide each side by '-4'. h = -4 Simplifying h = -4
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