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Simplifying 4a + -40 = 7(-2a + 2) Reorder the terms: -40 + 4a = 7(-2a + 2) Reorder the terms: -40 + 4a = 7(2 + -2a) -40 + 4a = (2 * 7 + -2a * 7) -40 + 4a = (14 + -14a) Solving -40 + 4a = 14 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -40 + 4a + 14a = 14 + -14a + 14a Combine like terms: 4a + 14a = 18a -40 + 18a = 14 + -14a + 14a Combine like terms: -14a + 14a = 0 -40 + 18a = 14 + 0 -40 + 18a = 14 Add '40' to each side of the equation. -40 + 40 + 18a = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18a = 14 + 40 18a = 14 + 40 Combine like terms: 14 + 40 = 54 18a = 54 Divide each side by '18'. a = 3 Simplifying a = 3
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