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Simplifying 7(3g + -4) + 2(8g + -2) = 66 Reorder the terms: 7(-4 + 3g) + 2(8g + -2) = 66 (-4 * 7 + 3g * 7) + 2(8g + -2) = 66 (-28 + 21g) + 2(8g + -2) = 66 Reorder the terms: -28 + 21g + 2(-2 + 8g) = 66 -28 + 21g + (-2 * 2 + 8g * 2) = 66 -28 + 21g + (-4 + 16g) = 66 Reorder the terms: -28 + -4 + 21g + 16g = 66 Combine like terms: -28 + -4 = -32 -32 + 21g + 16g = 66 Combine like terms: 21g + 16g = 37g -32 + 37g = 66 Solving -32 + 37g = 66 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 37g = 66 + 32 Combine like terms: -32 + 32 = 0 0 + 37g = 66 + 32 37g = 66 + 32 Combine like terms: 66 + 32 = 98 37g = 98 Divide each side by '37'. g = 2.648648649 Simplifying g = 2.648648649
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