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Simplifying 8(q + -7) + 2q = 11(q + -8) Reorder the terms: 8(-7 + q) + 2q = 11(q + -8) (-7 * 8 + q * 8) + 2q = 11(q + -8) (-56 + 8q) + 2q = 11(q + -8) Combine like terms: 8q + 2q = 10q -56 + 10q = 11(q + -8) Reorder the terms: -56 + 10q = 11(-8 + q) -56 + 10q = (-8 * 11 + q * 11) -56 + 10q = (-88 + 11q) Solving -56 + 10q = -88 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. -56 + 10q + -11q = -88 + 11q + -11q Combine like terms: 10q + -11q = -1q -56 + -1q = -88 + 11q + -11q Combine like terms: 11q + -11q = 0 -56 + -1q = -88 + 0 -56 + -1q = -88 Add '56' to each side of the equation. -56 + 56 + -1q = -88 + 56 Combine like terms: -56 + 56 = 0 0 + -1q = -88 + 56 -1q = -88 + 56 Combine like terms: -88 + 56 = -32 -1q = -32 Divide each side by '-1'. q = 32 Simplifying q = 32
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