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Simplifying 5g + -7(5g + 21) = 3(g + 1) Reorder the terms: 5g + -7(21 + 5g) = 3(g + 1) 5g + (21 * -7 + 5g * -7) = 3(g + 1) 5g + (-147 + -35g) = 3(g + 1) Reorder the terms: -147 + 5g + -35g = 3(g + 1) Combine like terms: 5g + -35g = -30g -147 + -30g = 3(g + 1) Reorder the terms: -147 + -30g = 3(1 + g) -147 + -30g = (1 * 3 + g * 3) -147 + -30g = (3 + 3g) Solving -147 + -30g = 3 + 3g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3g' to each side of the equation. -147 + -30g + -3g = 3 + 3g + -3g Combine like terms: -30g + -3g = -33g -147 + -33g = 3 + 3g + -3g Combine like terms: 3g + -3g = 0 -147 + -33g = 3 + 0 -147 + -33g = 3 Add '147' to each side of the equation. -147 + 147 + -33g = 3 + 147 Combine like terms: -147 + 147 = 0 0 + -33g = 3 + 147 -33g = 3 + 147 Combine like terms: 3 + 147 = 150 -33g = 150 Divide each side by '-33'. g = -4.545454545 Simplifying g = -4.545454545
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