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Simplifying 4(a + 2) + -10 = 2(a + 3) Reorder the terms: 4(2 + a) + -10 = 2(a + 3) (2 * 4 + a * 4) + -10 = 2(a + 3) (8 + 4a) + -10 = 2(a + 3) Reorder the terms: 8 + -10 + 4a = 2(a + 3) Combine like terms: 8 + -10 = -2 -2 + 4a = 2(a + 3) Reorder the terms: -2 + 4a = 2(3 + a) -2 + 4a = (3 * 2 + a * 2) -2 + 4a = (6 + 2a) Solving -2 + 4a = 6 + 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. -2 + 4a + -2a = 6 + 2a + -2a Combine like terms: 4a + -2a = 2a -2 + 2a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 2a = 6 + 0 -2 + 2a = 6 Add '2' to each side of the equation. -2 + 2 + 2a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 6 + 2 2a = 6 + 2 Combine like terms: 6 + 2 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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