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Simplifying 5 + 3(q + -4) = 5q + 1 Reorder the terms: 5 + 3(-4 + q) = 5q + 1 5 + (-4 * 3 + q * 3) = 5q + 1 5 + (-12 + 3q) = 5q + 1 Combine like terms: 5 + -12 = -7 -7 + 3q = 5q + 1 Reorder the terms: -7 + 3q = 1 + 5q Solving -7 + 3q = 1 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -7 + 3q + -5q = 1 + 5q + -5q Combine like terms: 3q + -5q = -2q -7 + -2q = 1 + 5q + -5q Combine like terms: 5q + -5q = 0 -7 + -2q = 1 + 0 -7 + -2q = 1 Add '7' to each side of the equation. -7 + 7 + -2q = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -2q = 1 + 7 -2q = 1 + 7 Combine like terms: 1 + 7 = 8 -2q = 8 Divide each side by '-2'. q = -4 Simplifying q = -4
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