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Simplifying 8(g + 2) + -3(g + -4) = 6(g + -7) + 8 Reorder the terms: 8(2 + g) + -3(g + -4) = 6(g + -7) + 8 (2 * 8 + g * 8) + -3(g + -4) = 6(g + -7) + 8 (16 + 8g) + -3(g + -4) = 6(g + -7) + 8 Reorder the terms: 16 + 8g + -3(-4 + g) = 6(g + -7) + 8 16 + 8g + (-4 * -3 + g * -3) = 6(g + -7) + 8 16 + 8g + (12 + -3g) = 6(g + -7) + 8 Reorder the terms: 16 + 12 + 8g + -3g = 6(g + -7) + 8 Combine like terms: 16 + 12 = 28 28 + 8g + -3g = 6(g + -7) + 8 Combine like terms: 8g + -3g = 5g 28 + 5g = 6(g + -7) + 8 Reorder the terms: 28 + 5g = 6(-7 + g) + 8 28 + 5g = (-7 * 6 + g * 6) + 8 28 + 5g = (-42 + 6g) + 8 Reorder the terms: 28 + 5g = -42 + 8 + 6g Combine like terms: -42 + 8 = -34 28 + 5g = -34 + 6g Solving 28 + 5g = -34 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. 28 + 5g + -6g = -34 + 6g + -6g Combine like terms: 5g + -6g = -1g 28 + -1g = -34 + 6g + -6g Combine like terms: 6g + -6g = 0 28 + -1g = -34 + 0 28 + -1g = -34 Add '-28' to each side of the equation. 28 + -28 + -1g = -34 + -28 Combine like terms: 28 + -28 = 0 0 + -1g = -34 + -28 -1g = -34 + -28 Combine like terms: -34 + -28 = -62 -1g = -62 Divide each side by '-1'. g = 62 Simplifying g = 62
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