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Simplifying 6(3h + -5) = 7(3h + -2) Reorder the terms: 6(-5 + 3h) = 7(3h + -2) (-5 * 6 + 3h * 6) = 7(3h + -2) (-30 + 18h) = 7(3h + -2) Reorder the terms: -30 + 18h = 7(-2 + 3h) -30 + 18h = (-2 * 7 + 3h * 7) -30 + 18h = (-14 + 21h) Solving -30 + 18h = -14 + 21h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-21h' to each side of the equation. -30 + 18h + -21h = -14 + 21h + -21h Combine like terms: 18h + -21h = -3h -30 + -3h = -14 + 21h + -21h Combine like terms: 21h + -21h = 0 -30 + -3h = -14 + 0 -30 + -3h = -14 Add '30' to each side of the equation. -30 + 30 + -3h = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -3h = -14 + 30 -3h = -14 + 30 Combine like terms: -14 + 30 = 16 -3h = 16 Divide each side by '-3'. h = -5.333333333 Simplifying h = -5.333333333
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