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Simplifying 7 + 5(3q + -4) = 7(q + -1) Reorder the terms: 7 + 5(-4 + 3q) = 7(q + -1) 7 + (-4 * 5 + 3q * 5) = 7(q + -1) 7 + (-20 + 15q) = 7(q + -1) Combine like terms: 7 + -20 = -13 -13 + 15q = 7(q + -1) Reorder the terms: -13 + 15q = 7(-1 + q) -13 + 15q = (-1 * 7 + q * 7) -13 + 15q = (-7 + 7q) Solving -13 + 15q = -7 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -13 + 15q + -7q = -7 + 7q + -7q Combine like terms: 15q + -7q = 8q -13 + 8q = -7 + 7q + -7q Combine like terms: 7q + -7q = 0 -13 + 8q = -7 + 0 -13 + 8q = -7 Add '13' to each side of the equation. -13 + 13 + 8q = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 8q = -7 + 13 8q = -7 + 13 Combine like terms: -7 + 13 = 6 8q = 6 Divide each side by '8'. q = 0.75 Simplifying q = 0.75
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