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Simplifying -31 + 6h = -4(3h + -8) Reorder the terms: -31 + 6h = -4(-8 + 3h) -31 + 6h = (-8 * -4 + 3h * -4) -31 + 6h = (32 + -12h) Solving -31 + 6h = 32 + -12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '12h' to each side of the equation. -31 + 6h + 12h = 32 + -12h + 12h Combine like terms: 6h + 12h = 18h -31 + 18h = 32 + -12h + 12h Combine like terms: -12h + 12h = 0 -31 + 18h = 32 + 0 -31 + 18h = 32 Add '31' to each side of the equation. -31 + 31 + 18h = 32 + 31 Combine like terms: -31 + 31 = 0 0 + 18h = 32 + 31 18h = 32 + 31 Combine like terms: 32 + 31 = 63 18h = 63 Divide each side by '18'. h = 3.5 Simplifying h = 3.5
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