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Simplifying 13(8 + 11q) + -7(q + -4) = 0 (8 * 13 + 11q * 13) + -7(q + -4) = 0 (104 + 143q) + -7(q + -4) = 0 Reorder the terms: 104 + 143q + -7(-4 + q) = 0 104 + 143q + (-4 * -7 + q * -7) = 0 104 + 143q + (28 + -7q) = 0 Reorder the terms: 104 + 28 + 143q + -7q = 0 Combine like terms: 104 + 28 = 132 132 + 143q + -7q = 0 Combine like terms: 143q + -7q = 136q 132 + 136q = 0 Solving 132 + 136q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-132' to each side of the equation. 132 + -132 + 136q = 0 + -132 Combine like terms: 132 + -132 = 0 0 + 136q = 0 + -132 136q = 0 + -132 Combine like terms: 0 + -132 = -132 136q = -132 Divide each side by '136'. q = -0.9705882353 Simplifying q = -0.9705882353
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