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Simplifying 8(3g + -2) = 4(7g + -1) Reorder the terms: 8(-2 + 3g) = 4(7g + -1) (-2 * 8 + 3g * 8) = 4(7g + -1) (-16 + 24g) = 4(7g + -1) Reorder the terms: -16 + 24g = 4(-1 + 7g) -16 + 24g = (-1 * 4 + 7g * 4) -16 + 24g = (-4 + 28g) Solving -16 + 24g = -4 + 28g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28g' to each side of the equation. -16 + 24g + -28g = -4 + 28g + -28g Combine like terms: 24g + -28g = -4g -16 + -4g = -4 + 28g + -28g Combine like terms: 28g + -28g = 0 -16 + -4g = -4 + 0 -16 + -4g = -4 Add '16' to each side of the equation. -16 + 16 + -4g = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -4g = -4 + 16 -4g = -4 + 16 Combine like terms: -4 + 16 = 12 -4g = 12 Divide each side by '-4'. g = -3 Simplifying g = -3
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