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Simplifying 5 + 3(q + -4) = 2(9 + 1) Reorder the terms: 5 + 3(-4 + q) = 2(9 + 1) 5 + (-4 * 3 + q * 3) = 2(9 + 1) 5 + (-12 + 3q) = 2(9 + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 2(9 + 1) Combine like terms: 9 + 1 = 10 -7 + 3q = 2(10) Multiply 2 * 10 -7 + 3q = 20 Solving -7 + 3q = 20 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3q = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 3q = 20 + 7 3q = 20 + 7 Combine like terms: 20 + 7 = 27 3q = 27 Divide each side by '3'. q = 9 Simplifying q = 9
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