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Simplifying 3(g + -10) + 2(g + -29) = 2 Reorder the terms: 3(-10 + g) + 2(g + -29) = 2 (-10 * 3 + g * 3) + 2(g + -29) = 2 (-30 + 3g) + 2(g + -29) = 2 Reorder the terms: -30 + 3g + 2(-29 + g) = 2 -30 + 3g + (-29 * 2 + g * 2) = 2 -30 + 3g + (-58 + 2g) = 2 Reorder the terms: -30 + -58 + 3g + 2g = 2 Combine like terms: -30 + -58 = -88 -88 + 3g + 2g = 2 Combine like terms: 3g + 2g = 5g -88 + 5g = 2 Solving -88 + 5g = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + 5g = 2 + 88 Combine like terms: -88 + 88 = 0 0 + 5g = 2 + 88 5g = 2 + 88 Combine like terms: 2 + 88 = 90 5g = 90 Divide each side by '5'. g = 18 Simplifying g = 18
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