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Simplifying 5(a + 3) = 10a + -65 Reorder the terms: 5(3 + a) = 10a + -65 (3 * 5 + a * 5) = 10a + -65 (15 + 5a) = 10a + -65 Reorder the terms: 15 + 5a = -65 + 10a Solving 15 + 5a = -65 + 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. 15 + 5a + -10a = -65 + 10a + -10a Combine like terms: 5a + -10a = -5a 15 + -5a = -65 + 10a + -10a Combine like terms: 10a + -10a = 0 15 + -5a = -65 + 0 15 + -5a = -65 Add '-15' to each side of the equation. 15 + -15 + -5a = -65 + -15 Combine like terms: 15 + -15 = 0 0 + -5a = -65 + -15 -5a = -65 + -15 Combine like terms: -65 + -15 = -80 -5a = -80 Divide each side by '-5'. a = 16 Simplifying a = 16
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