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Simplifying a + 2(2a + -3) = 5(a + 2) + -4(a + 1) Reorder the terms: a + 2(-3 + 2a) = 5(a + 2) + -4(a + 1) a + (-3 * 2 + 2a * 2) = 5(a + 2) + -4(a + 1) a + (-6 + 4a) = 5(a + 2) + -4(a + 1) Reorder the terms: -6 + a + 4a = 5(a + 2) + -4(a + 1) Combine like terms: a + 4a = 5a -6 + 5a = 5(a + 2) + -4(a + 1) Reorder the terms: -6 + 5a = 5(2 + a) + -4(a + 1) -6 + 5a = (2 * 5 + a * 5) + -4(a + 1) -6 + 5a = (10 + 5a) + -4(a + 1) Reorder the terms: -6 + 5a = 10 + 5a + -4(1 + a) -6 + 5a = 10 + 5a + (1 * -4 + a * -4) -6 + 5a = 10 + 5a + (-4 + -4a) Reorder the terms: -6 + 5a = 10 + -4 + 5a + -4a Combine like terms: 10 + -4 = 6 -6 + 5a = 6 + 5a + -4a Combine like terms: 5a + -4a = 1a -6 + 5a = 6 + 1a Solving -6 + 5a = 6 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -6 + 5a + -1a = 6 + 1a + -1a Combine like terms: 5a + -1a = 4a -6 + 4a = 6 + 1a + -1a Combine like terms: 1a + -1a = 0 -6 + 4a = 6 + 0 -6 + 4a = 6 Add '6' to each side of the equation. -6 + 6 + 4a = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 6 + 6 4a = 6 + 6 Combine like terms: 6 + 6 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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