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Simplifying 1h + -4(2h + -3) = 2h + -6 Reorder the terms: 1h + -4(-3 + 2h) = 2h + -6 1h + (-3 * -4 + 2h * -4) = 2h + -6 1h + (12 + -8h) = 2h + -6 Reorder the terms: 12 + 1h + -8h = 2h + -6 Combine like terms: 1h + -8h = -7h 12 + -7h = 2h + -6 Reorder the terms: 12 + -7h = -6 + 2h Solving 12 + -7h = -6 + 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 + -7h + -2h = -6 + 2h + -2h Combine like terms: -7h + -2h = -9h 12 + -9h = -6 + 2h + -2h Combine like terms: 2h + -2h = 0 12 + -9h = -6 + 0 12 + -9h = -6 Add '-12' to each side of the equation. 12 + -12 + -9h = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9h = -6 + -12 -9h = -6 + -12 Combine like terms: -6 + -12 = -18 -9h = -18 Divide each side by '-9'. h = 2 Simplifying h = 2
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