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Simplifying 3(g + -4) + 5 = 5(g + -1) Reorder the terms: 3(-4 + g) + 5 = 5(g + -1) (-4 * 3 + g * 3) + 5 = 5(g + -1) (-12 + 3g) + 5 = 5(g + -1) Reorder the terms: -12 + 5 + 3g = 5(g + -1) Combine like terms: -12 + 5 = -7 -7 + 3g = 5(g + -1) Reorder the terms: -7 + 3g = 5(-1 + g) -7 + 3g = (-1 * 5 + g * 5) -7 + 3g = (-5 + 5g) Solving -7 + 3g = -5 + 5g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5g' to each side of the equation. -7 + 3g + -5g = -5 + 5g + -5g Combine like terms: 3g + -5g = -2g -7 + -2g = -5 + 5g + -5g Combine like terms: 5g + -5g = 0 -7 + -2g = -5 + 0 -7 + -2g = -5 Add '7' to each side of the equation. -7 + 7 + -2g = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -2g = -5 + 7 -2g = -5 + 7 Combine like terms: -5 + 7 = 2 -2g = 2 Divide each side by '-2'. g = -1 Simplifying g = -1
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