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Simplifying 5(g + -3) = 10(g + -2) Reorder the terms: 5(-3 + g) = 10(g + -2) (-3 * 5 + g * 5) = 10(g + -2) (-15 + 5g) = 10(g + -2) Reorder the terms: -15 + 5g = 10(-2 + g) -15 + 5g = (-2 * 10 + g * 10) -15 + 5g = (-20 + 10g) Solving -15 + 5g = -20 + 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. -15 + 5g + -10g = -20 + 10g + -10g Combine like terms: 5g + -10g = -5g -15 + -5g = -20 + 10g + -10g Combine like terms: 10g + -10g = 0 -15 + -5g = -20 + 0 -15 + -5g = -20 Add '15' to each side of the equation. -15 + 15 + -5g = -20 + 15 Combine like terms: -15 + 15 = 0 0 + -5g = -20 + 15 -5g = -20 + 15 Combine like terms: -20 + 15 = -5 -5g = -5 Divide each side by '-5'. g = 1 Simplifying g = 1
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