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Simplifying 4 + -2(a + 3) = 5a + 7 Reorder the terms: 4 + -2(3 + a) = 5a + 7 4 + (3 * -2 + a * -2) = 5a + 7 4 + (-6 + -2a) = 5a + 7 Combine like terms: 4 + -6 = -2 -2 + -2a = 5a + 7 Reorder the terms: -2 + -2a = 7 + 5a Solving -2 + -2a = 7 + 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. -2 + -2a + -5a = 7 + 5a + -5a Combine like terms: -2a + -5a = -7a -2 + -7a = 7 + 5a + -5a Combine like terms: 5a + -5a = 0 -2 + -7a = 7 + 0 -2 + -7a = 7 Add '2' to each side of the equation. -2 + 2 + -7a = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 7 + 2 -7a = 7 + 2 Combine like terms: 7 + 2 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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