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Simplifying 6(-28.74 + 2.7q) = -3(45.48 + -0.6q) (-28.74 * 6 + 2.7q * 6) = -3(45.48 + -0.6q) (-172.44 + 16.2q) = -3(45.48 + -0.6q) -172.44 + 16.2q = (45.48 * -3 + -0.6q * -3) -172.44 + 16.2q = (-136.44 + 1.8q) Solving -172.44 + 16.2q = -136.44 + 1.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.8q' to each side of the equation. -172.44 + 16.2q + -1.8q = -136.44 + 1.8q + -1.8q Combine like terms: 16.2q + -1.8q = 14.4q -172.44 + 14.4q = -136.44 + 1.8q + -1.8q Combine like terms: 1.8q + -1.8q = 0.0 -172.44 + 14.4q = -136.44 + 0.0 -172.44 + 14.4q = -136.44 Add '172.44' to each side of the equation. -172.44 + 172.44 + 14.4q = -136.44 + 172.44 Combine like terms: -172.44 + 172.44 = 0.00 0.00 + 14.4q = -136.44 + 172.44 14.4q = -136.44 + 172.44 Combine like terms: -136.44 + 172.44 = 36 14.4q = 36 Divide each side by '14.4'. q = 2.5 Simplifying q = 2.5
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