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Simplifying 4(3h + -2) = 3h + 46 Reorder the terms: 4(-2 + 3h) = 3h + 46 (-2 * 4 + 3h * 4) = 3h + 46 (-8 + 12h) = 3h + 46 Reorder the terms: -8 + 12h = 46 + 3h Solving -8 + 12h = 46 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. -8 + 12h + -3h = 46 + 3h + -3h Combine like terms: 12h + -3h = 9h -8 + 9h = 46 + 3h + -3h Combine like terms: 3h + -3h = 0 -8 + 9h = 46 + 0 -8 + 9h = 46 Add '8' to each side of the equation. -8 + 8 + 9h = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 9h = 46 + 8 9h = 46 + 8 Combine like terms: 46 + 8 = 54 9h = 54 Divide each side by '9'. h = 6 Simplifying h = 6
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