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Simplifying 2(a + -2) + -5(7a + 5) = -6a + 2a Reorder the terms: 2(-2 + a) + -5(7a + 5) = -6a + 2a (-2 * 2 + a * 2) + -5(7a + 5) = -6a + 2a (-4 + 2a) + -5(7a + 5) = -6a + 2a Reorder the terms: -4 + 2a + -5(5 + 7a) = -6a + 2a -4 + 2a + (5 * -5 + 7a * -5) = -6a + 2a -4 + 2a + (-25 + -35a) = -6a + 2a Reorder the terms: -4 + -25 + 2a + -35a = -6a + 2a Combine like terms: -4 + -25 = -29 -29 + 2a + -35a = -6a + 2a Combine like terms: 2a + -35a = -33a -29 + -33a = -6a + 2a Combine like terms: -6a + 2a = -4a -29 + -33a = -4a Solving -29 + -33a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -29 + -33a + 4a = -4a + 4a Combine like terms: -33a + 4a = -29a -29 + -29a = -4a + 4a Combine like terms: -4a + 4a = 0 -29 + -29a = 0 Add '29' to each side of the equation. -29 + 29 + -29a = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -29a = 0 + 29 -29a = 0 + 29 Combine like terms: 0 + 29 = 29 -29a = 29 Divide each side by '-29'. a = -1 Simplifying a = -1
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