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Simplifying 12 + 7(3q + -5) + -2(q + 8) + 6 = 0 Reorder the terms: 12 + 7(-5 + 3q) + -2(q + 8) + 6 = 0 12 + (-5 * 7 + 3q * 7) + -2(q + 8) + 6 = 0 12 + (-35 + 21q) + -2(q + 8) + 6 = 0 Reorder the terms: 12 + -35 + 21q + -2(8 + q) + 6 = 0 12 + -35 + 21q + (8 * -2 + q * -2) + 6 = 0 12 + -35 + 21q + (-16 + -2q) + 6 = 0 Reorder the terms: 12 + -35 + -16 + 6 + 21q + -2q = 0 Combine like terms: 12 + -35 = -23 -23 + -16 + 6 + 21q + -2q = 0 Combine like terms: -23 + -16 = -39 -39 + 6 + 21q + -2q = 0 Combine like terms: -39 + 6 = -33 -33 + 21q + -2q = 0 Combine like terms: 21q + -2q = 19q -33 + 19q = 0 Solving -33 + 19q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 19q = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 19q = 0 + 33 19q = 0 + 33 Combine like terms: 0 + 33 = 33 19q = 33 Divide each side by '19'. q = 1.736842105 Simplifying q = 1.736842105
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