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Simplifying -1(5 + -3p + 4g) + 2(4p + -7p + -3) = 0 Reorder the terms: -1(5 + 4g + -3p) + 2(4p + -7p + -3) = 0 (5 * -1 + 4g * -1 + -3p * -1) + 2(4p + -7p + -3) = 0 (-5 + -4g + 3p) + 2(4p + -7p + -3) = 0 Reorder the terms: -5 + -4g + 3p + 2(-3 + 4p + -7p) = 0 Combine like terms: 4p + -7p = -3p -5 + -4g + 3p + 2(-3 + -3p) = 0 -5 + -4g + 3p + (-3 * 2 + -3p * 2) = 0 -5 + -4g + 3p + (-6 + -6p) = 0 Reorder the terms: -5 + -6 + -4g + 3p + -6p = 0 Combine like terms: -5 + -6 = -11 -11 + -4g + 3p + -6p = 0 Combine like terms: 3p + -6p = -3p -11 + -4g + -3p = 0 Solving -11 + -4g + -3p = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + -4g + 11 + -3p = 0 + 11 Reorder the terms: -11 + 11 + -4g + -3p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4g + -3p = 0 + 11 -4g + -3p = 0 + 11 Combine like terms: 0 + 11 = 11 -4g + -3p = 11 Add '3p' to each side of the equation. -4g + -3p + 3p = 11 + 3p Combine like terms: -3p + 3p = 0 -4g + 0 = 11 + 3p -4g = 11 + 3p Divide each side by '-4'. g = -2.75 + -0.75p Simplifying g = -2.75 + -0.75p
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