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Simplifying 7(5 + 4a) + 5(-7 + -2) = -8a + -4a (5 * 7 + 4a * 7) + 5(-7 + -2) = -8a + -4a (35 + 28a) + 5(-7 + -2) = -8a + -4a Combine like terms: -7 + -2 = -9 35 + 28a + 5(-9) = -8a + -4a Multiply 5 * -9 35 + 28a + -45 = -8a + -4a Reorder the terms: 35 + -45 + 28a = -8a + -4a Combine like terms: 35 + -45 = -10 -10 + 28a = -8a + -4a Combine like terms: -8a + -4a = -12a -10 + 28a = -12a Solving -10 + 28a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -10 + 28a + 12a = -12a + 12a Combine like terms: 28a + 12a = 40a -10 + 40a = -12a + 12a Combine like terms: -12a + 12a = 0 -10 + 40a = 0 Add '10' to each side of the equation. -10 + 10 + 40a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 40a = 0 + 10 40a = 0 + 10 Combine like terms: 0 + 10 = 10 40a = 10 Divide each side by '40'. a = 0.25 Simplifying a = 0.25
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