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Simplifying 7(8g + -5) = 5(6g + 4) + -2(3g + 4) Reorder the terms: 7(-5 + 8g) = 5(6g + 4) + -2(3g + 4) (-5 * 7 + 8g * 7) = 5(6g + 4) + -2(3g + 4) (-35 + 56g) = 5(6g + 4) + -2(3g + 4) Reorder the terms: -35 + 56g = 5(4 + 6g) + -2(3g + 4) -35 + 56g = (4 * 5 + 6g * 5) + -2(3g + 4) -35 + 56g = (20 + 30g) + -2(3g + 4) Reorder the terms: -35 + 56g = 20 + 30g + -2(4 + 3g) -35 + 56g = 20 + 30g + (4 * -2 + 3g * -2) -35 + 56g = 20 + 30g + (-8 + -6g) Reorder the terms: -35 + 56g = 20 + -8 + 30g + -6g Combine like terms: 20 + -8 = 12 -35 + 56g = 12 + 30g + -6g Combine like terms: 30g + -6g = 24g -35 + 56g = 12 + 24g Solving -35 + 56g = 12 + 24g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24g' to each side of the equation. -35 + 56g + -24g = 12 + 24g + -24g Combine like terms: 56g + -24g = 32g -35 + 32g = 12 + 24g + -24g Combine like terms: 24g + -24g = 0 -35 + 32g = 12 + 0 -35 + 32g = 12 Add '35' to each side of the equation. -35 + 35 + 32g = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 32g = 12 + 35 32g = 12 + 35 Combine like terms: 12 + 35 = 47 32g = 47 Divide each side by '32'. g = 1.46875 Simplifying g = 1.46875
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