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Simplifying 4(-12g + -17) = 5(-11g + -8) + -7 Reorder the terms: 4(-17 + -12g) = 5(-11g + -8) + -7 (-17 * 4 + -12g * 4) = 5(-11g + -8) + -7 (-68 + -48g) = 5(-11g + -8) + -7 Reorder the terms: -68 + -48g = 5(-8 + -11g) + -7 -68 + -48g = (-8 * 5 + -11g * 5) + -7 -68 + -48g = (-40 + -55g) + -7 Reorder the terms: -68 + -48g = -40 + -7 + -55g Combine like terms: -40 + -7 = -47 -68 + -48g = -47 + -55g Solving -68 + -48g = -47 + -55g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '55g' to each side of the equation. -68 + -48g + 55g = -47 + -55g + 55g Combine like terms: -48g + 55g = 7g -68 + 7g = -47 + -55g + 55g Combine like terms: -55g + 55g = 0 -68 + 7g = -47 + 0 -68 + 7g = -47 Add '68' to each side of the equation. -68 + 68 + 7g = -47 + 68 Combine like terms: -68 + 68 = 0 0 + 7g = -47 + 68 7g = -47 + 68 Combine like terms: -47 + 68 = 21 7g = 21 Divide each side by '7'. g = 3 Simplifying g = 3
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