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Simplifying 4(h + 13) = 19h + 22 Reorder the terms: 4(13 + h) = 19h + 22 (13 * 4 + h * 4) = 19h + 22 (52 + 4h) = 19h + 22 Reorder the terms: 52 + 4h = 22 + 19h Solving 52 + 4h = 22 + 19h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-19h' to each side of the equation. 52 + 4h + -19h = 22 + 19h + -19h Combine like terms: 4h + -19h = -15h 52 + -15h = 22 + 19h + -19h Combine like terms: 19h + -19h = 0 52 + -15h = 22 + 0 52 + -15h = 22 Add '-52' to each side of the equation. 52 + -52 + -15h = 22 + -52 Combine like terms: 52 + -52 = 0 0 + -15h = 22 + -52 -15h = 22 + -52 Combine like terms: 22 + -52 = -30 -15h = -30 Divide each side by '-15'. h = 2 Simplifying h = 2
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