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Simplifying 3(2h + -6) + 6(h + 5) = 2(4h + -4) + -10(h + 4) Reorder the terms: 3(-6 + 2h) + 6(h + 5) = 2(4h + -4) + -10(h + 4) (-6 * 3 + 2h * 3) + 6(h + 5) = 2(4h + -4) + -10(h + 4) (-18 + 6h) + 6(h + 5) = 2(4h + -4) + -10(h + 4) Reorder the terms: -18 + 6h + 6(5 + h) = 2(4h + -4) + -10(h + 4) -18 + 6h + (5 * 6 + h * 6) = 2(4h + -4) + -10(h + 4) -18 + 6h + (30 + 6h) = 2(4h + -4) + -10(h + 4) Reorder the terms: -18 + 30 + 6h + 6h = 2(4h + -4) + -10(h + 4) Combine like terms: -18 + 30 = 12 12 + 6h + 6h = 2(4h + -4) + -10(h + 4) Combine like terms: 6h + 6h = 12h 12 + 12h = 2(4h + -4) + -10(h + 4) Reorder the terms: 12 + 12h = 2(-4 + 4h) + -10(h + 4) 12 + 12h = (-4 * 2 + 4h * 2) + -10(h + 4) 12 + 12h = (-8 + 8h) + -10(h + 4) Reorder the terms: 12 + 12h = -8 + 8h + -10(4 + h) 12 + 12h = -8 + 8h + (4 * -10 + h * -10) 12 + 12h = -8 + 8h + (-40 + -10h) Reorder the terms: 12 + 12h = -8 + -40 + 8h + -10h Combine like terms: -8 + -40 = -48 12 + 12h = -48 + 8h + -10h Combine like terms: 8h + -10h = -2h 12 + 12h = -48 + -2h Solving 12 + 12h = -48 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. 12 + 12h + 2h = -48 + -2h + 2h Combine like terms: 12h + 2h = 14h 12 + 14h = -48 + -2h + 2h Combine like terms: -2h + 2h = 0 12 + 14h = -48 + 0 12 + 14h = -48 Add '-12' to each side of the equation. 12 + -12 + 14h = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 14h = -48 + -12 14h = -48 + -12 Combine like terms: -48 + -12 = -60 14h = -60 Divide each side by '14'. h = -4.285714286 Simplifying h = -4.285714286
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