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Simplifying 4 + 2a + -7 = 3(a + 1) + a Reorder the terms: 4 + -7 + 2a = 3(a + 1) + a Combine like terms: 4 + -7 = -3 -3 + 2a = 3(a + 1) + a Reorder the terms: -3 + 2a = 3(1 + a) + a -3 + 2a = (1 * 3 + a * 3) + a -3 + 2a = (3 + 3a) + a Combine like terms: 3a + a = 4a -3 + 2a = 3 + 4a Solving -3 + 2a = 3 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + 2a + -4a = 3 + 4a + -4a Combine like terms: 2a + -4a = -2a -3 + -2a = 3 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -2a = 3 + 0 -3 + -2a = 3 Add '3' to each side of the equation. -3 + 3 + -2a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -2a = 3 + 3 -2a = 3 + 3 Combine like terms: 3 + 3 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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