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Simplifying 3(5g + -11) = -1 + -17g Reorder the terms: 3(-11 + 5g) = -1 + -17g (-11 * 3 + 5g * 3) = -1 + -17g (-33 + 15g) = -1 + -17g Solving -33 + 15g = -1 + -17g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '17g' to each side of the equation. -33 + 15g + 17g = -1 + -17g + 17g Combine like terms: 15g + 17g = 32g -33 + 32g = -1 + -17g + 17g Combine like terms: -17g + 17g = 0 -33 + 32g = -1 + 0 -33 + 32g = -1 Add '33' to each side of the equation. -33 + 33 + 32g = -1 + 33 Combine like terms: -33 + 33 = 0 0 + 32g = -1 + 33 32g = -1 + 33 Combine like terms: -1 + 33 = 32 32g = 32 Divide each side by '32'. g = 1 Simplifying g = 1
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