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Simplifying 5 + 3(q + -4) = 2a(q + 1) Reorder the terms: 5 + 3(-4 + q) = 2a(q + 1) 5 + (-4 * 3 + q * 3) = 2a(q + 1) 5 + (-12 + 3q) = 2a(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 2a(q + 1) Reorder the terms: -7 + 3q = 2a(1 + q) -7 + 3q = (1 * 2a + q * 2a) -7 + 3q = (2a + 2aq) Solving -7 + 3q = 2a + 2aq Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2aq' to each side of the equation. -7 + -2aq + 3q = 2a + 2aq + -2aq Combine like terms: 2aq + -2aq = 0 -7 + -2aq + 3q = 2a + 0 -7 + -2aq + 3q = 2a Add '7' to each side of the equation. -7 + -2aq + 7 + 3q = 7 + 2a Reorder the terms: -7 + 7 + -2aq + 3q = 7 + 2a Combine like terms: -7 + 7 = 0 0 + -2aq + 3q = 7 + 2a -2aq + 3q = 7 + 2a Reorder the terms: -7 + -2a + -2aq + 3q = 7 + 2a + -7 + -2a Reorder the terms: -7 + -2a + -2aq + 3q = 7 + -7 + 2a + -2a Combine like terms: 7 + -7 = 0 -7 + -2a + -2aq + 3q = 0 + 2a + -2a -7 + -2a + -2aq + 3q = 2a + -2a Combine like terms: 2a + -2a = 0 -7 + -2a + -2aq + 3q = 0 The solution to this equation could not be determined.
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