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Simplifying 4(q + -1) + 9q = 14(q + -6) Reorder the terms: 4(-1 + q) + 9q = 14(q + -6) (-1 * 4 + q * 4) + 9q = 14(q + -6) (-4 + 4q) + 9q = 14(q + -6) Combine like terms: 4q + 9q = 13q -4 + 13q = 14(q + -6) Reorder the terms: -4 + 13q = 14(-6 + q) -4 + 13q = (-6 * 14 + q * 14) -4 + 13q = (-84 + 14q) Solving -4 + 13q = -84 + 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. -4 + 13q + -14q = -84 + 14q + -14q Combine like terms: 13q + -14q = -1q -4 + -1q = -84 + 14q + -14q Combine like terms: 14q + -14q = 0 -4 + -1q = -84 + 0 -4 + -1q = -84 Add '4' to each side of the equation. -4 + 4 + -1q = -84 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = -84 + 4 -1q = -84 + 4 Combine like terms: -84 + 4 = -80 -1q = -80 Divide each side by '-1'. q = 80 Simplifying q = 80
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