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Simplifying 6(8 + -5h) = 7(3 + -2h) (8 * 6 + -5h * 6) = 7(3 + -2h) (48 + -30h) = 7(3 + -2h) 48 + -30h = (3 * 7 + -2h * 7) 48 + -30h = (21 + -14h) Solving 48 + -30h = 21 + -14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '14h' to each side of the equation. 48 + -30h + 14h = 21 + -14h + 14h Combine like terms: -30h + 14h = -16h 48 + -16h = 21 + -14h + 14h Combine like terms: -14h + 14h = 0 48 + -16h = 21 + 0 48 + -16h = 21 Add '-48' to each side of the equation. 48 + -48 + -16h = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -16h = 21 + -48 -16h = 21 + -48 Combine like terms: 21 + -48 = -27 -16h = -27 Divide each side by '-16'. h = 1.6875 Simplifying h = 1.6875
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