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Simplifying 4(a + -2) = 5a + -3 Reorder the terms: 4(-2 + a) = 5a + -3 (-2 * 4 + a * 4) = 5a + -3 (-8 + 4a) = 5a + -3 Reorder the terms: -8 + 4a = -3 + 5a Solving -8 + 4a = -3 + 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. -8 + 4a + -5a = -3 + 5a + -5a Combine like terms: 4a + -5a = -1a -8 + -1a = -3 + 5a + -5a Combine like terms: 5a + -5a = 0 -8 + -1a = -3 + 0 -8 + -1a = -3 Add '8' to each side of the equation. -8 + 8 + -1a = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -3 + 8 -1a = -3 + 8 Combine like terms: -3 + 8 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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