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Simplifying 4.7 + -1(0.3 + q) = -10(1.1q + -1(0.1 + -1q)) 4.7 + (0.3 * -1 + q * -1) = -10(1.1q + -1(0.1 + -1q)) 4.7 + (-0.3 + -1q) = -10(1.1q + -1(0.1 + -1q)) Combine like terms: 4.7 + -0.3 = 4.4 4.4 + -1q = -10(1.1q + -1(0.1 + -1q)) 4.4 + -1q = -10(1.1q + (0.1 * -1 + -1q * -1)) 4.4 + -1q = -10(1.1q + (-0.1 + 1q)) Reorder the terms: 4.4 + -1q = -10(-0.1 + 1.1q + 1q) Combine like terms: 1.1q + 1q = 2.1q 4.4 + -1q = -10(-0.1 + 2.1q) 4.4 + -1q = (-0.1 * -10 + 2.1q * -10) 4.4 + -1q = (1 + -21q) Solving 4.4 + -1q = 1 + -21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '21q' to each side of the equation. 4.4 + -1q + 21q = 1 + -21q + 21q Combine like terms: -1q + 21q = 20q 4.4 + 20q = 1 + -21q + 21q Combine like terms: -21q + 21q = 0 4.4 + 20q = 1 + 0 4.4 + 20q = 1 Add '-4.4' to each side of the equation. 4.4 + -4.4 + 20q = 1 + -4.4 Combine like terms: 4.4 + -4.4 = 0.0 0.0 + 20q = 1 + -4.4 20q = 1 + -4.4 Combine like terms: 1 + -4.4 = -3.4 20q = -3.4 Divide each side by '20'. q = -0.17 Simplifying q = -0.17
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