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Simplifying 4(3q + -2) * 1 = 6q Reorder the terms: 4(-2 + 3q) * 1 = 6q Reorder the terms for easier multiplication: 4 * 1(-2 + 3q) = 6q Multiply 4 * 1 4(-2 + 3q) = 6q (-2 * 4 + 3q * 4) = 6q (-8 + 12q) = 6q Solving -8 + 12q = 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -8 + 12q + -6q = 6q + -6q Combine like terms: 12q + -6q = 6q -8 + 6q = 6q + -6q Combine like terms: 6q + -6q = 0 -8 + 6q = 0 Add '8' to each side of the equation. -8 + 8 + 6q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6q = 0 + 8 6q = 0 + 8 Combine like terms: 0 + 8 = 8 6q = 8 Divide each side by '6'. q = 1.333333333 Simplifying q = 1.333333333
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