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Simplifying 7 = 3a + 2(5a + -3) Reorder the terms: 7 = 3a + 2(-3 + 5a) 7 = 3a + (-3 * 2 + 5a * 2) 7 = 3a + (-6 + 10a) Reorder the terms: 7 = -6 + 3a + 10a Combine like terms: 3a + 10a = 13a 7 = -6 + 13a Solving 7 = -6 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 7 + -13a = -6 + 13a + -13a Combine like terms: 13a + -13a = 0 7 + -13a = -6 + 0 7 + -13a = -6 Add '-7' to each side of the equation. 7 + -7 + -13a = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -13a = -6 + -7 -13a = -6 + -7 Combine like terms: -6 + -7 = -13 -13a = -13 Divide each side by '-13'. a = 1 Simplifying a = 1
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