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Simplifying 2a + -1 = 3(a + 1) + 7a + 5 Reorder the terms: -1 + 2a = 3(a + 1) + 7a + 5 Reorder the terms: -1 + 2a = 3(1 + a) + 7a + 5 -1 + 2a = (1 * 3 + a * 3) + 7a + 5 -1 + 2a = (3 + 3a) + 7a + 5 Reorder the terms: -1 + 2a = 3 + 5 + 3a + 7a Combine like terms: 3 + 5 = 8 -1 + 2a = 8 + 3a + 7a Combine like terms: 3a + 7a = 10a -1 + 2a = 8 + 10a Solving -1 + 2a = 8 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -1 + 2a + -10a = 8 + 10a + -10a Combine like terms: 2a + -10a = -8a -1 + -8a = 8 + 10a + -10a Combine like terms: 10a + -10a = 0 -1 + -8a = 8 + 0 -1 + -8a = 8 Add '1' to each side of the equation. -1 + 1 + -8a = 8 + 1 Combine like terms: -1 + 1 = 0 0 + -8a = 8 + 1 -8a = 8 + 1 Combine like terms: 8 + 1 = 9 -8a = 9 Divide each side by '-8'. a = -1.125 Simplifying a = -1.125
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