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Simplifying 6(5 + -2g) + -3(-1p + 7) = 0 (5 * 6 + -2g * 6) + -3(-1p + 7) = 0 (30 + -12g) + -3(-1p + 7) = 0 Reorder the terms: 30 + -12g + -3(7 + -1p) = 0 30 + -12g + (7 * -3 + -1p * -3) = 0 30 + -12g + (-21 + 3p) = 0 Reorder the terms: 30 + -21 + -12g + 3p = 0 Combine like terms: 30 + -21 = 9 9 + -12g + 3p = 0 Solving 9 + -12g + 3p = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -12g + -9 + 3p = 0 + -9 Reorder the terms: 9 + -9 + -12g + 3p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -12g + 3p = 0 + -9 -12g + 3p = 0 + -9 Combine like terms: 0 + -9 = -9 -12g + 3p = -9 Add '-3p' to each side of the equation. -12g + 3p + -3p = -9 + -3p Combine like terms: 3p + -3p = 0 -12g + 0 = -9 + -3p -12g = -9 + -3p Divide each side by '-12'. g = 0.75 + 0.25p Simplifying g = 0.75 + 0.25p
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