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Simplifying 3(a + 2) * 5 = 2a + 4 Reorder the terms: 3(2 + a) * 5 = 2a + 4 Reorder the terms for easier multiplication: 3 * 5(2 + a) = 2a + 4 Multiply 3 * 5 15(2 + a) = 2a + 4 (2 * 15 + a * 15) = 2a + 4 (30 + 15a) = 2a + 4 Reorder the terms: 30 + 15a = 4 + 2a Solving 30 + 15a = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 30 + 15a + -2a = 4 + 2a + -2a Combine like terms: 15a + -2a = 13a 30 + 13a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 13a = 4 + 0 30 + 13a = 4 Add '-30' to each side of the equation. 30 + -30 + 13a = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 13a = 4 + -30 13a = 4 + -30 Combine like terms: 4 + -30 = -26 13a = -26 Divide each side by '13'. a = -2 Simplifying a = -2
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