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Simplifying 4x + -20 + 2a = 4(x + -5) + a + 1 Reorder the terms: -20 + 2a + 4x = 4(x + -5) + a + 1 Reorder the terms: -20 + 2a + 4x = 4(-5 + x) + a + 1 -20 + 2a + 4x = (-5 * 4 + x * 4) + a + 1 -20 + 2a + 4x = (-20 + 4x) + a + 1 Reorder the terms: -20 + 2a + 4x = -20 + 1 + a + 4x Combine like terms: -20 + 1 = -19 -20 + 2a + 4x = -19 + a + 4x Add '-4x' to each side of the equation. -20 + 2a + 4x + -4x = -19 + a + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 2a + 0 = -19 + a + 4x + -4x -20 + 2a = -19 + a + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 2a = -19 + a + 0 -20 + 2a = -19 + a Solving -20 + 2a = -19 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -20 + 2a + -1a = -19 + a + -1a Combine like terms: 2a + -1a = 1a -20 + 1a = -19 + a + -1a Combine like terms: a + -1a = 0 -20 + 1a = -19 + 0 -20 + 1a = -19 Add '20' to each side of the equation. -20 + 20 + 1a = -19 + 20 Combine like terms: -20 + 20 = 0 0 + 1a = -19 + 20 1a = -19 + 20 Combine like terms: -19 + 20 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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