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Simplifying 5a + -1 = 4(a + -2) Reorder the terms: -1 + 5a = 4(a + -2) Reorder the terms: -1 + 5a = 4(-2 + a) -1 + 5a = (-2 * 4 + a * 4) -1 + 5a = (-8 + 4a) Solving -1 + 5a = -8 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + 5a + -4a = -8 + 4a + -4a Combine like terms: 5a + -4a = 1a -1 + 1a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + 1a = -8 + 0 -1 + 1a = -8 Add '1' to each side of the equation. -1 + 1 + 1a = -8 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = -8 + 1 1a = -8 + 1 Combine like terms: -8 + 1 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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