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Simplifying 3(30 + g) = 4(g + 14) (30 * 3 + g * 3) = 4(g + 14) (90 + 3g) = 4(g + 14) Reorder the terms: 90 + 3g = 4(14 + g) 90 + 3g = (14 * 4 + g * 4) 90 + 3g = (56 + 4g) Solving 90 + 3g = 56 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 90 + 3g + -4g = 56 + 4g + -4g Combine like terms: 3g + -4g = -1g 90 + -1g = 56 + 4g + -4g Combine like terms: 4g + -4g = 0 90 + -1g = 56 + 0 90 + -1g = 56 Add '-90' to each side of the equation. 90 + -90 + -1g = 56 + -90 Combine like terms: 90 + -90 = 0 0 + -1g = 56 + -90 -1g = 56 + -90 Combine like terms: 56 + -90 = -34 -1g = -34 Divide each side by '-1'. g = 34 Simplifying g = 34
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