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Simplifying 4x + -1(6y + -7q + 4) + -3 = 0 Reorder the terms: 4x + -1(4 + -7q + 6y) + -3 = 0 4x + (4 * -1 + -7q * -1 + 6y * -1) + -3 = 0 4x + (-4 + 7q + -6y) + -3 = 0 Reorder the terms: -4 + -3 + 7q + 4x + -6y = 0 Combine like terms: -4 + -3 = -7 -7 + 7q + 4x + -6y = 0 Solving -7 + 7q + 4x + -6y = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7q + 4x + 7 + -6y = 0 + 7 Reorder the terms: -7 + 7 + 7q + 4x + -6y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7q + 4x + -6y = 0 + 7 7q + 4x + -6y = 0 + 7 Combine like terms: 0 + 7 = 7 7q + 4x + -6y = 7 Add '-4x' to each side of the equation. 7q + 4x + -4x + -6y = 7 + -4x Combine like terms: 4x + -4x = 0 7q + 0 + -6y = 7 + -4x 7q + -6y = 7 + -4x Add '6y' to each side of the equation. 7q + -6y + 6y = 7 + -4x + 6y Combine like terms: -6y + 6y = 0 7q + 0 = 7 + -4x + 6y 7q = 7 + -4x + 6y Divide each side by '7'. q = 1 + -0.5714285714x + 0.8571428571y Simplifying q = 1 + -0.5714285714x + 0.8571428571y
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