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Simplifying 5 + 39(q + -4) = 2(q + 1) Reorder the terms: 5 + 39(-4 + q) = 2(q + 1) 5 + (-4 * 39 + q * 39) = 2(q + 1) 5 + (-156 + 39q) = 2(q + 1) Combine like terms: 5 + -156 = -151 -151 + 39q = 2(q + 1) Reorder the terms: -151 + 39q = 2(1 + q) -151 + 39q = (1 * 2 + q * 2) -151 + 39q = (2 + 2q) Solving -151 + 39q = 2 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -151 + 39q + -2q = 2 + 2q + -2q Combine like terms: 39q + -2q = 37q -151 + 37q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 -151 + 37q = 2 + 0 -151 + 37q = 2 Add '151' to each side of the equation. -151 + 151 + 37q = 2 + 151 Combine like terms: -151 + 151 = 0 0 + 37q = 2 + 151 37q = 2 + 151 Combine like terms: 2 + 151 = 153 37q = 153 Divide each side by '37'. q = 4.135135135 Simplifying q = 4.135135135
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