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Simplifying 14 + -0.2(15q + 35) = -4q + -12 Reorder the terms: 14 + -0.2(35 + 15q) = -4q + -12 14 + (35 * -0.2 + 15q * -0.2) = -4q + -12 14 + (-7 + -3q) = -4q + -12 Combine like terms: 14 + -7 = 7 7 + -3q = -4q + -12 Reorder the terms: 7 + -3q = -12 + -4q Solving 7 + -3q = -12 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 7 + -3q + 4q = -12 + -4q + 4q Combine like terms: -3q + 4q = 1q 7 + 1q = -12 + -4q + 4q Combine like terms: -4q + 4q = 0 7 + 1q = -12 + 0 7 + 1q = -12 Add '-7' to each side of the equation. 7 + -7 + 1q = -12 + -7 Combine like terms: 7 + -7 = 0 0 + 1q = -12 + -7 1q = -12 + -7 Combine like terms: -12 + -7 = -19 1q = -19 Divide each side by '1'. q = -19 Simplifying q = -19
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