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Simplifying 5 + 3(Q + -4) = 2(Q + -1) Reorder the terms: 5 + 3(-4 + Q) = 2(Q + -1) 5 + (-4 * 3 + Q * 3) = 2(Q + -1) 5 + (-12 + 3Q) = 2(Q + -1) Combine like terms: 5 + -12 = -7 -7 + 3Q = 2(Q + -1) Reorder the terms: -7 + 3Q = 2(-1 + Q) -7 + 3Q = (-1 * 2 + Q * 2) -7 + 3Q = (-2 + 2Q) Solving -7 + 3Q = -2 + 2Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-2Q' to each side of the equation. -7 + 3Q + -2Q = -2 + 2Q + -2Q Combine like terms: 3Q + -2Q = 1Q -7 + 1Q = -2 + 2Q + -2Q Combine like terms: 2Q + -2Q = 0 -7 + 1Q = -2 + 0 -7 + 1Q = -2 Add '7' to each side of the equation. -7 + 7 + 1Q = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1Q = -2 + 7 1Q = -2 + 7 Combine like terms: -2 + 7 = 5 1Q = 5 Divide each side by '1'. Q = 5 Simplifying Q = 5
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