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Simplifying h(g + 2) = 29 + 3(g + -5) Reorder the terms: h(2 + g) = 29 + 3(g + -5) (2 * h + g * h) = 29 + 3(g + -5) Reorder the terms: (gh + 2h) = 29 + 3(g + -5) (gh + 2h) = 29 + 3(g + -5) Reorder the terms: gh + 2h = 29 + 3(-5 + g) gh + 2h = 29 + (-5 * 3 + g * 3) gh + 2h = 29 + (-15 + 3g) Combine like terms: 29 + -15 = 14 gh + 2h = 14 + 3g Solving gh + 2h = 14 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. gh + -3g + 2h = 14 + 3g + -3g Reorder the terms: -3g + gh + 2h = 14 + 3g + -3g Combine like terms: 3g + -3g = 0 -3g + gh + 2h = 14 + 0 -3g + gh + 2h = 14 Add '-2h' to each side of the equation. -3g + gh + 2h + -2h = 14 + -2h Combine like terms: 2h + -2h = 0 -3g + gh + 0 = 14 + -2h -3g + gh = 14 + -2h Reorder the terms: -14 + -3g + gh + 2h = 14 + -2h + -14 + 2h Reorder the terms: -14 + -3g + gh + 2h = 14 + -14 + -2h + 2h Combine like terms: 14 + -14 = 0 -14 + -3g + gh + 2h = 0 + -2h + 2h -14 + -3g + gh + 2h = -2h + 2h Combine like terms: -2h + 2h = 0 -14 + -3g + gh + 2h = 0 The solution to this equation could not be determined.
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