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