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Simplifying 5a + -4 = 7(a + 2) Reorder the terms: -4 + 5a = 7(a + 2) Reorder the terms: -4 + 5a = 7(2 + a) -4 + 5a = (2 * 7 + a * 7) -4 + 5a = (14 + 7a) Solving -4 + 5a = 14 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -4 + 5a + -7a = 14 + 7a + -7a Combine like terms: 5a + -7a = -2a -4 + -2a = 14 + 7a + -7a Combine like terms: 7a + -7a = 0 -4 + -2a = 14 + 0 -4 + -2a = 14 Add '4' to each side of the equation. -4 + 4 + -2a = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = 14 + 4 -2a = 14 + 4 Combine like terms: 14 + 4 = 18 -2a = 18 Divide each side by '-2'. a = -9 Simplifying a = -9
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