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Simplifying 2(g + -4) = 5(g + -7) Reorder the terms: 2(-4 + g) = 5(g + -7) (-4 * 2 + g * 2) = 5(g + -7) (-8 + 2g) = 5(g + -7) Reorder the terms: -8 + 2g = 5(-7 + g) -8 + 2g = (-7 * 5 + g * 5) -8 + 2g = (-35 + 5g) Solving -8 + 2g = -35 + 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. -8 + 2g + -5g = -35 + 5g + -5g Combine like terms: 2g + -5g = -3g -8 + -3g = -35 + 5g + -5g Combine like terms: 5g + -5g = 0 -8 + -3g = -35 + 0 -8 + -3g = -35 Add '8' to each side of the equation. -8 + 8 + -3g = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3g = -35 + 8 -3g = -35 + 8 Combine like terms: -35 + 8 = -27 -3g = -27 Divide each side by '-3'. g = 9 Simplifying g = 9
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