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Simplifying -1(4q + 8) + 6q = 12q + -0.8(18q + 6) Reorder the terms: -1(8 + 4q) + 6q = 12q + -0.8(18q + 6) (8 * -1 + 4q * -1) + 6q = 12q + -0.8(18q + 6) (-8 + -4q) + 6q = 12q + -0.8(18q + 6) Combine like terms: -4q + 6q = 2q -8 + 2q = 12q + -0.8(18q + 6) Reorder the terms: -8 + 2q = 12q + -0.8(6 + 18q) -8 + 2q = 12q + (6 * -0.8 + 18q * -0.8) -8 + 2q = 12q + (-4.8 + -14.4q) Reorder the terms: -8 + 2q = -4.8 + 12q + -14.4q Combine like terms: 12q + -14.4q = -2.4q -8 + 2q = -4.8 + -2.4q Solving -8 + 2q = -4.8 + -2.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.4q' to each side of the equation. -8 + 2q + 2.4q = -4.8 + -2.4q + 2.4q Combine like terms: 2q + 2.4q = 4.4q -8 + 4.4q = -4.8 + -2.4q + 2.4q Combine like terms: -2.4q + 2.4q = 0.0 -8 + 4.4q = -4.8 + 0.0 -8 + 4.4q = -4.8 Add '8' to each side of the equation. -8 + 8 + 4.4q = -4.8 + 8 Combine like terms: -8 + 8 = 0 0 + 4.4q = -4.8 + 8 4.4q = -4.8 + 8 Combine like terms: -4.8 + 8 = 3.2 4.4q = 3.2 Divide each side by '4.4'. q = 0.7272727273 Simplifying q = 0.7272727273
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