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Simplifying 4a + -5 = 3(a + 1) + 10a + 2 Reorder the terms: -5 + 4a = 3(a + 1) + 10a + 2 Reorder the terms: -5 + 4a = 3(1 + a) + 10a + 2 -5 + 4a = (1 * 3 + a * 3) + 10a + 2 -5 + 4a = (3 + 3a) + 10a + 2 Reorder the terms: -5 + 4a = 3 + 2 + 3a + 10a Combine like terms: 3 + 2 = 5 -5 + 4a = 5 + 3a + 10a Combine like terms: 3a + 10a = 13a -5 + 4a = 5 + 13a Solving -5 + 4a = 5 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -5 + 4a + -13a = 5 + 13a + -13a Combine like terms: 4a + -13a = -9a -5 + -9a = 5 + 13a + -13a Combine like terms: 13a + -13a = 0 -5 + -9a = 5 + 0 -5 + -9a = 5 Add '5' to each side of the equation. -5 + 5 + -9a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -9a = 5 + 5 -9a = 5 + 5 Combine like terms: 5 + 5 = 10 -9a = 10 Divide each side by '-9'. a = -1.111111111 Simplifying a = -1.111111111
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