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Simplifying 4(15h + -3) + 2(10h + 46) + (14h + -16) = 0 Reorder the terms: 4(-3 + 15h) + 2(10h + 46) + (14h + -16) = 0 (-3 * 4 + 15h * 4) + 2(10h + 46) + (14h + -16) = 0 (-12 + 60h) + 2(10h + 46) + (14h + -16) = 0 Reorder the terms: -12 + 60h + 2(46 + 10h) + (14h + -16) = 0 -12 + 60h + (46 * 2 + 10h * 2) + (14h + -16) = 0 -12 + 60h + (92 + 20h) + (14h + -16) = 0 Reorder the terms: -12 + 60h + 92 + 20h + (-16 + 14h) = 0 Remove parenthesis around (-16 + 14h) -12 + 60h + 92 + 20h + -16 + 14h = 0 Reorder the terms: -12 + 92 + -16 + 60h + 20h + 14h = 0 Combine like terms: -12 + 92 = 80 80 + -16 + 60h + 20h + 14h = 0 Combine like terms: 80 + -16 = 64 64 + 60h + 20h + 14h = 0 Combine like terms: 60h + 20h = 80h 64 + 80h + 14h = 0 Combine like terms: 80h + 14h = 94h 64 + 94h = 0 Solving 64 + 94h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 94h = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 94h = 0 + -64 94h = 0 + -64 Combine like terms: 0 + -64 = -64 94h = -64 Divide each side by '94'. h = -0.6808510638 Simplifying h = -0.6808510638
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