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Simplifying 5 + -10.5q = 2q + -1(10q + -4) Reorder the terms: 5 + -10.5q = 2q + -1(-4 + 10q) 5 + -10.5q = 2q + (-4 * -1 + 10q * -1) 5 + -10.5q = 2q + (4 + -10q) Reorder the terms: 5 + -10.5q = 4 + 2q + -10q Combine like terms: 2q + -10q = -8q 5 + -10.5q = 4 + -8q Solving 5 + -10.5q = 4 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 5 + -10.5q + 8q = 4 + -8q + 8q Combine like terms: -10.5q + 8q = -2.5q 5 + -2.5q = 4 + -8q + 8q Combine like terms: -8q + 8q = 0 5 + -2.5q = 4 + 0 5 + -2.5q = 4 Add '-5' to each side of the equation. 5 + -5 + -2.5q = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -2.5q = 4 + -5 -2.5q = 4 + -5 Combine like terms: 4 + -5 = -1 -2.5q = -1 Divide each side by '-2.5'. q = 0.4 Simplifying q = 0.4
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