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Simplifying -40 + -7a = -7 + -5(5 + 3a) -40 + -7a = -7 + (5 * -5 + 3a * -5) -40 + -7a = -7 + (-25 + -15a) Combine like terms: -7 + -25 = -32 -40 + -7a = -32 + -15a Solving -40 + -7a = -32 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -40 + -7a + 15a = -32 + -15a + 15a Combine like terms: -7a + 15a = 8a -40 + 8a = -32 + -15a + 15a Combine like terms: -15a + 15a = 0 -40 + 8a = -32 + 0 -40 + 8a = -32 Add '40' to each side of the equation. -40 + 40 + 8a = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 8a = -32 + 40 8a = -32 + 40 Combine like terms: -32 + 40 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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