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Simplifying 3(g + -14) + 7(g + -12) = 14 Reorder the terms: 3(-14 + g) + 7(g + -12) = 14 (-14 * 3 + g * 3) + 7(g + -12) = 14 (-42 + 3g) + 7(g + -12) = 14 Reorder the terms: -42 + 3g + 7(-12 + g) = 14 -42 + 3g + (-12 * 7 + g * 7) = 14 -42 + 3g + (-84 + 7g) = 14 Reorder the terms: -42 + -84 + 3g + 7g = 14 Combine like terms: -42 + -84 = -126 -126 + 3g + 7g = 14 Combine like terms: 3g + 7g = 10g -126 + 10g = 14 Solving -126 + 10g = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '126' to each side of the equation. -126 + 126 + 10g = 14 + 126 Combine like terms: -126 + 126 = 0 0 + 10g = 14 + 126 10g = 14 + 126 Combine like terms: 14 + 126 = 140 10g = 140 Divide each side by '10'. g = 14 Simplifying g = 14
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