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