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