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