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Simplifying 4a + -8 = 4(a + 1) + 2a + 1 Reorder the terms: -8 + 4a = 4(a + 1) + 2a + 1 Reorder the terms: -8 + 4a = 4(1 + a) + 2a + 1 -8 + 4a = (1 * 4 + a * 4) + 2a + 1 -8 + 4a = (4 + 4a) + 2a + 1 Reorder the terms: -8 + 4a = 4 + 1 + 4a + 2a Combine like terms: 4 + 1 = 5 -8 + 4a = 5 + 4a + 2a Combine like terms: 4a + 2a = 6a -8 + 4a = 5 + 6a Solving -8 + 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. -8 + 4a + -6a = 5 + 6a + -6a Combine like terms: 4a + -6a = -2a -8 + -2a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 -8 + -2a = 5 + 0 -8 + -2a = 5 Add '8' to each side of the equation. -8 + 8 + -2a = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 5 + 8 -2a = 5 + 8 Combine like terms: 5 + 8 = 13 -2a = 13 Divide each side by '-2'. a = -6.5 Simplifying a = -6.5
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