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Simplifying 117 + -1q + -4 + -1q + -7 = 180 Reorder the terms: 117 + -4 + -7 + -1q + -1q = 180 Combine like terms: 117 + -4 = 113 113 + -7 + -1q + -1q = 180 Combine like terms: 113 + -7 = 106 106 + -1q + -1q = 180 Combine like terms: -1q + -1q = -2q 106 + -2q = 180 Solving 106 + -2q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + -2q = 180 + -106 Combine like terms: 106 + -106 = 0 0 + -2q = 180 + -106 -2q = 180 + -106 Combine like terms: 180 + -106 = 74 -2q = 74 Divide each side by '-2'. q = -37 Simplifying q = -37
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