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Simplifying -40 = 10(4 + a) -40 = (4 * 10 + a * 10) -40 = (40 + 10a) Solving -40 = 40 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -40 + -10a = 40 + 10a + -10a Combine like terms: 10a + -10a = 0 -40 + -10a = 40 + 0 -40 + -10a = 40 Add '40' to each side of the equation. -40 + 40 + -10a = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -10a = 40 + 40 -10a = 40 + 40 Combine like terms: 40 + 40 = 80 -10a = 80 Divide each side by '-10'. a = -8 Simplifying a = -8
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