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Simplifying 4(a + -2) + 3 = 5a + 1 Reorder the terms: 4(-2 + a) + 3 = 5a + 1 (-2 * 4 + a * 4) + 3 = 5a + 1 (-8 + 4a) + 3 = 5a + 1 Reorder the terms: -8 + 3 + 4a = 5a + 1 Combine like terms: -8 + 3 = -5 -5 + 4a = 5a + 1 Reorder the terms: -5 + 4a = 1 + 5a Solving -5 + 4a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -5 + 4a + -5a = 1 + 5a + -5a Combine like terms: 4a + -5a = -1a -5 + -1a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -5 + -1a = 1 + 0 -5 + -1a = 1 Add '5' to each side of the equation. -5 + 5 + -1a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 1 + 5 -1a = 1 + 5 Combine like terms: 1 + 5 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6
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