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Simplifying 3a + 7 = 5(a + -3) Reorder the terms: 7 + 3a = 5(a + -3) Reorder the terms: 7 + 3a = 5(-3 + a) 7 + 3a = (-3 * 5 + a * 5) 7 + 3a = (-15 + 5a) Solving 7 + 3a = -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. 7 + 3a + -5a = -15 + 5a + -5a Combine like terms: 3a + -5a = -2a 7 + -2a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -2a = -15 + 0 7 + -2a = -15 Add '-7' to each side of the equation. 7 + -7 + -2a = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = -15 + -7 -2a = -15 + -7 Combine like terms: -15 + -7 = -22 -2a = -22 Divide each side by '-2'. a = 11 Simplifying a = 11
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