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Simplifying 4(q + -1) + -6q = (2 + -1q) + -12 Reorder the terms: 4(-1 + q) + -6q = (2 + -1q) + -12 (-1 * 4 + q * 4) + -6q = (2 + -1q) + -12 (-4 + 4q) + -6q = (2 + -1q) + -12 Combine like terms: 4q + -6q = -2q -4 + -2q = (2 + -1q) + -12 Remove parenthesis around (2 + -1q) -4 + -2q = 2 + -1q + -12 Reorder the terms: -4 + -2q = 2 + -12 + -1q Combine like terms: 2 + -12 = -10 -4 + -2q = -10 + -1q Solving -4 + -2q = -10 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -4 + -2q + q = -10 + -1q + q Combine like terms: -2q + q = -1q -4 + -1q = -10 + -1q + q Combine like terms: -1q + q = 0 -4 + -1q = -10 + 0 -4 + -1q = -10 Add '4' to each side of the equation. -4 + 4 + -1q = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1q = -10 + 4 -1q = -10 + 4 Combine like terms: -10 + 4 = -6 -1q = -6 Divide each side by '-1'. q = 6 Simplifying q = 6
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