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Simplifying 4(a + 1) + -5 = 6a + 5 Reorder the terms: 4(1 + a) + -5 = 6a + 5 (1 * 4 + a * 4) + -5 = 6a + 5 (4 + 4a) + -5 = 6a + 5 Reorder the terms: 4 + -5 + 4a = 6a + 5 Combine like terms: 4 + -5 = -1 -1 + 4a = 6a + 5 Reorder the terms: -1 + 4a = 5 + 6a Solving -1 + 4a = 5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -1 + 4a + -6a = 5 + 6a + -6a Combine like terms: 4a + -6a = -2a -1 + -2a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 -1 + -2a = 5 + 0 -1 + -2a = 5 Add '1' to each side of the equation. -1 + 1 + -2a = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -2a = 5 + 1 -2a = 5 + 1 Combine like terms: 5 + 1 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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