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Simplifying 5(g + -3) + 2(g + -2) = 4 Reorder the terms: 5(-3 + g) + 2(g + -2) = 4 (-3 * 5 + g * 5) + 2(g + -2) = 4 (-15 + 5g) + 2(g + -2) = 4 Reorder the terms: -15 + 5g + 2(-2 + g) = 4 -15 + 5g + (-2 * 2 + g * 2) = 4 -15 + 5g + (-4 + 2g) = 4 Reorder the terms: -15 + -4 + 5g + 2g = 4 Combine like terms: -15 + -4 = -19 -19 + 5g + 2g = 4 Combine like terms: 5g + 2g = 7g -19 + 7g = 4 Solving -19 + 7g = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 7g = 4 + 19 Combine like terms: -19 + 19 = 0 0 + 7g = 4 + 19 7g = 4 + 19 Combine like terms: 4 + 19 = 23 7g = 23 Divide each side by '7'. g = 3.285714286 Simplifying g = 3.285714286
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