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Simplifying 3(5a + 1) = 5(5a + -3) Reorder the terms: 3(1 + 5a) = 5(5a + -3) (1 * 3 + 5a * 3) = 5(5a + -3) (3 + 15a) = 5(5a + -3) Reorder the terms: 3 + 15a = 5(-3 + 5a) 3 + 15a = (-3 * 5 + 5a * 5) 3 + 15a = (-15 + 25a) Solving 3 + 15a = -15 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 3 + 15a + -25a = -15 + 25a + -25a Combine like terms: 15a + -25a = -10a 3 + -10a = -15 + 25a + -25a Combine like terms: 25a + -25a = 0 3 + -10a = -15 + 0 3 + -10a = -15 Add '-3' to each side of the equation. 3 + -3 + -10a = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -10a = -15 + -3 -10a = -15 + -3 Combine like terms: -15 + -3 = -18 -10a = -18 Divide each side by '-10'. a = 1.8 Simplifying a = 1.8
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