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Simplifying 9(3q + -19) + 15q = -3(-15q + 12) Reorder the terms: 9(-19 + 3q) + 15q = -3(-15q + 12) (-19 * 9 + 3q * 9) + 15q = -3(-15q + 12) (-171 + 27q) + 15q = -3(-15q + 12) Combine like terms: 27q + 15q = 42q -171 + 42q = -3(-15q + 12) Reorder the terms: -171 + 42q = -3(12 + -15q) -171 + 42q = (12 * -3 + -15q * -3) -171 + 42q = (-36 + 45q) Solving -171 + 42q = -36 + 45q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-45q' to each side of the equation. -171 + 42q + -45q = -36 + 45q + -45q Combine like terms: 42q + -45q = -3q -171 + -3q = -36 + 45q + -45q Combine like terms: 45q + -45q = 0 -171 + -3q = -36 + 0 -171 + -3q = -36 Add '171' to each side of the equation. -171 + 171 + -3q = -36 + 171 Combine like terms: -171 + 171 = 0 0 + -3q = -36 + 171 -3q = -36 + 171 Combine like terms: -36 + 171 = 135 -3q = 135 Divide each side by '-3'. q = -45 Simplifying q = -45
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