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Simplifying 10(-2g + -2) = 2(6g + 22) Reorder the terms: 10(-2 + -2g) = 2(6g + 22) (-2 * 10 + -2g * 10) = 2(6g + 22) (-20 + -20g) = 2(6g + 22) Reorder the terms: -20 + -20g = 2(22 + 6g) -20 + -20g = (22 * 2 + 6g * 2) -20 + -20g = (44 + 12g) Solving -20 + -20g = 44 + 12g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12g' to each side of the equation. -20 + -20g + -12g = 44 + 12g + -12g Combine like terms: -20g + -12g = -32g -20 + -32g = 44 + 12g + -12g Combine like terms: 12g + -12g = 0 -20 + -32g = 44 + 0 -20 + -32g = 44 Add '20' to each side of the equation. -20 + 20 + -32g = 44 + 20 Combine like terms: -20 + 20 = 0 0 + -32g = 44 + 20 -32g = 44 + 20 Combine like terms: 44 + 20 = 64 -32g = 64 Divide each side by '-32'. g = -2 Simplifying g = -2
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