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Simplifying 3 + 5h + -9 = 4(3h + 4) + -1 Reorder the terms: 3 + -9 + 5h = 4(3h + 4) + -1 Combine like terms: 3 + -9 = -6 -6 + 5h = 4(3h + 4) + -1 Reorder the terms: -6 + 5h = 4(4 + 3h) + -1 -6 + 5h = (4 * 4 + 3h * 4) + -1 -6 + 5h = (16 + 12h) + -1 Reorder the terms: -6 + 5h = 16 + -1 + 12h Combine like terms: 16 + -1 = 15 -6 + 5h = 15 + 12h Solving -6 + 5h = 15 + 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. -6 + 5h + -12h = 15 + 12h + -12h Combine like terms: 5h + -12h = -7h -6 + -7h = 15 + 12h + -12h Combine like terms: 12h + -12h = 0 -6 + -7h = 15 + 0 -6 + -7h = 15 Add '6' to each side of the equation. -6 + 6 + -7h = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7h = 15 + 6 -7h = 15 + 6 Combine like terms: 15 + 6 = 21 -7h = 21 Divide each side by '-7'. h = -3 Simplifying h = -3
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