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Simplifying 4(a + 3) + -2a = 5(2a + 2) Reorder the terms: 4(3 + a) + -2a = 5(2a + 2) (3 * 4 + a * 4) + -2a = 5(2a + 2) (12 + 4a) + -2a = 5(2a + 2) Combine like terms: 4a + -2a = 2a 12 + 2a = 5(2a + 2) Reorder the terms: 12 + 2a = 5(2 + 2a) 12 + 2a = (2 * 5 + 2a * 5) 12 + 2a = (10 + 10a) Solving 12 + 2a = 10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 12 + 2a + -10a = 10 + 10a + -10a Combine like terms: 2a + -10a = -8a 12 + -8a = 10 + 10a + -10a Combine like terms: 10a + -10a = 0 12 + -8a = 10 + 0 12 + -8a = 10 Add '-12' to each side of the equation. 12 + -12 + -8a = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -8a = 10 + -12 -8a = 10 + -12 Combine like terms: 10 + -12 = -2 -8a = -2 Divide each side by '-8'. a = 0.25 Simplifying a = 0.25
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