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Simplifying 0.7(0.3q + -1.1) = 1.1q + 0.832 Reorder the terms: 0.7(-1.1 + 0.3q) = 1.1q + 0.832 (-1.1 * 0.7 + 0.3q * 0.7) = 1.1q + 0.832 (-0.77 + 0.21q) = 1.1q + 0.832 Reorder the terms: -0.77 + 0.21q = 0.832 + 1.1q Solving -0.77 + 0.21q = 0.832 + 1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.1q' to each side of the equation. -0.77 + 0.21q + -1.1q = 0.832 + 1.1q + -1.1q Combine like terms: 0.21q + -1.1q = -0.89q -0.77 + -0.89q = 0.832 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -0.77 + -0.89q = 0.832 + 0.0 -0.77 + -0.89q = 0.832 Add '0.77' to each side of the equation. -0.77 + 0.77 + -0.89q = 0.832 + 0.77 Combine like terms: -0.77 + 0.77 = 0.00 0.00 + -0.89q = 0.832 + 0.77 -0.89q = 0.832 + 0.77 Combine like terms: 0.832 + 0.77 = 1.602 -0.89q = 1.602 Divide each side by '-0.89'. q = -1.8 Simplifying q = -1.8
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