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Simplifying 7(q + 1) + -3q = 5 + 4(4q + -1) Reorder the terms: 7(1 + q) + -3q = 5 + 4(4q + -1) (1 * 7 + q * 7) + -3q = 5 + 4(4q + -1) (7 + 7q) + -3q = 5 + 4(4q + -1) Combine like terms: 7q + -3q = 4q 7 + 4q = 5 + 4(4q + -1) Reorder the terms: 7 + 4q = 5 + 4(-1 + 4q) 7 + 4q = 5 + (-1 * 4 + 4q * 4) 7 + 4q = 5 + (-4 + 16q) Combine like terms: 5 + -4 = 1 7 + 4q = 1 + 16q Solving 7 + 4q = 1 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. 7 + 4q + -16q = 1 + 16q + -16q Combine like terms: 4q + -16q = -12q 7 + -12q = 1 + 16q + -16q Combine like terms: 16q + -16q = 0 7 + -12q = 1 + 0 7 + -12q = 1 Add '-7' to each side of the equation. 7 + -7 + -12q = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -12q = 1 + -7 -12q = 1 + -7 Combine like terms: 1 + -7 = -6 -12q = -6 Divide each side by '-12'. q = 0.5 Simplifying q = 0.5
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