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Simplifying 5 + 3(g + -4) = 2(g + 1) Reorder the terms: 5 + 3(-4 + g) = 2(g + 1) 5 + (-4 * 3 + g * 3) = 2(g + 1) 5 + (-12 + 3g) = 2(g + 1) Combine like terms: 5 + -12 = -7 -7 + 3g = 2(g + 1) Reorder the terms: -7 + 3g = 2(1 + g) -7 + 3g = (1 * 2 + g * 2) -7 + 3g = (2 + 2g) Solving -7 + 3g = 2 + 2g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g' to each side of the equation. -7 + 3g + -2g = 2 + 2g + -2g Combine like terms: 3g + -2g = 1g -7 + 1g = 2 + 2g + -2g Combine like terms: 2g + -2g = 0 -7 + 1g = 2 + 0 -7 + 1g = 2 Add '7' to each side of the equation. -7 + 7 + 1g = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1g = 2 + 7 1g = 2 + 7 Combine like terms: 2 + 7 = 9 1g = 9 Divide each side by '1'. g = 9 Simplifying g = 9
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