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Simplifying 3(g + -5) + 8 = 18 + -1(3 + -10g) Reorder the terms: 3(-5 + g) + 8 = 18 + -1(3 + -10g) (-5 * 3 + g * 3) + 8 = 18 + -1(3 + -10g) (-15 + 3g) + 8 = 18 + -1(3 + -10g) Reorder the terms: -15 + 8 + 3g = 18 + -1(3 + -10g) Combine like terms: -15 + 8 = -7 -7 + 3g = 18 + -1(3 + -10g) -7 + 3g = 18 + (3 * -1 + -10g * -1) -7 + 3g = 18 + (-3 + 10g) Combine like terms: 18 + -3 = 15 -7 + 3g = 15 + 10g Solving -7 + 3g = 15 + 10g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10g' to each side of the equation. -7 + 3g + -10g = 15 + 10g + -10g Combine like terms: 3g + -10g = -7g -7 + -7g = 15 + 10g + -10g Combine like terms: 10g + -10g = 0 -7 + -7g = 15 + 0 -7 + -7g = 15 Add '7' to each side of the equation. -7 + 7 + -7g = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -7g = 15 + 7 -7g = 15 + 7 Combine like terms: 15 + 7 = 22 -7g = 22 Divide each side by '-7'. g = -3.142857143 Simplifying g = -3.142857143
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