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Simplifying 0.09(2q + -8) + -1q = 0.36(2 + -2q) Reorder the terms: 0.09(-8 + 2q) + -1q = 0.36(2 + -2q) (-8 * 0.09 + 2q * 0.09) + -1q = 0.36(2 + -2q) (-0.72 + 0.18q) + -1q = 0.36(2 + -2q) Combine like terms: 0.18q + -1q = -0.82q -0.72 + -0.82q = 0.36(2 + -2q) -0.72 + -0.82q = (2 * 0.36 + -2q * 0.36) -0.72 + -0.82q = (0.72 + -0.72q) Solving -0.72 + -0.82q = 0.72 + -0.72q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.72q' to each side of the equation. -0.72 + -0.82q + 0.72q = 0.72 + -0.72q + 0.72q Combine like terms: -0.82q + 0.72q = -0.1q -0.72 + -0.1q = 0.72 + -0.72q + 0.72q Combine like terms: -0.72q + 0.72q = 0.00 -0.72 + -0.1q = 0.72 + 0.00 -0.72 + -0.1q = 0.72 Add '0.72' to each side of the equation. -0.72 + 0.72 + -0.1q = 0.72 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + -0.1q = 0.72 + 0.72 -0.1q = 0.72 + 0.72 Combine like terms: 0.72 + 0.72 = 1.44 -0.1q = 1.44 Divide each side by '-0.1'. q = -14.4 Simplifying q = -14.4
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