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Simplifying 6(3h + -5) = 3[4(2 + -1h) + -7] Reorder the terms: 6(-5 + 3h) = 3[4(2 + -1h) + -7] (-5 * 6 + 3h * 6) = 3[4(2 + -1h) + -7] (-30 + 18h) = 3[4(2 + -1h) + -7] -30 + 18h = 3[(2 * 4 + -1h * 4) + -7] -30 + 18h = 3[(8 + -4h) + -7] Reorder the terms: -30 + 18h = 3[8 + -7 + -4h] Combine like terms: 8 + -7 = 1 -30 + 18h = 3[1 + -4h] -30 + 18h = [1 * 3 + -4h * 3] -30 + 18h = [3 + -12h] Solving -30 + 18h = 3 + -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. -30 + 18h + 12h = 3 + -12h + 12h Combine like terms: 18h + 12h = 30h -30 + 30h = 3 + -12h + 12h Combine like terms: -12h + 12h = 0 -30 + 30h = 3 + 0 -30 + 30h = 3 Add '30' to each side of the equation. -30 + 30 + 30h = 3 + 30 Combine like terms: -30 + 30 = 0 0 + 30h = 3 + 30 30h = 3 + 30 Combine like terms: 3 + 30 = 33 30h = 33 Divide each side by '30'. h = 1.1 Simplifying h = 1.1
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