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Simplifying 5a + -15 = 2 + 2(2 + 6a) Reorder the terms: -15 + 5a = 2 + 2(2 + 6a) -15 + 5a = 2 + (2 * 2 + 6a * 2) -15 + 5a = 2 + (4 + 12a) Combine like terms: 2 + 4 = 6 -15 + 5a = 6 + 12a Solving -15 + 5a = 6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -15 + 5a + -12a = 6 + 12a + -12a Combine like terms: 5a + -12a = -7a -15 + -7a = 6 + 12a + -12a Combine like terms: 12a + -12a = 0 -15 + -7a = 6 + 0 -15 + -7a = 6 Add '15' to each side of the equation. -15 + 15 + -7a = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -7a = 6 + 15 -7a = 6 + 15 Combine like terms: 6 + 15 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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