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Simplifying 4(q + -1) + 5q = 10(q + -7) Reorder the terms: 4(-1 + q) + 5q = 10(q + -7) (-1 * 4 + q * 4) + 5q = 10(q + -7) (-4 + 4q) + 5q = 10(q + -7) Combine like terms: 4q + 5q = 9q -4 + 9q = 10(q + -7) Reorder the terms: -4 + 9q = 10(-7 + q) -4 + 9q = (-7 * 10 + q * 10) -4 + 9q = (-70 + 10q) Solving -4 + 9q = -70 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -4 + 9q + -10q = -70 + 10q + -10q Combine like terms: 9q + -10q = -1q -4 + -1q = -70 + 10q + -10q Combine like terms: 10q + -10q = 0 -4 + -1q = -70 + 0 -4 + -1q = -70 Add '4' to each side of the equation. -4 + 4 + -1q = -70 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = -70 + 4 -1q = -70 + 4 Combine like terms: -70 + 4 = -66 -1q = -66 Divide each side by '-1'. q = 66 Simplifying q = 66
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