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Simplifying 5(2a + -5) + -3a = 4a + -2(a + -5) Reorder the terms: 5(-5 + 2a) + -3a = 4a + -2(a + -5) (-5 * 5 + 2a * 5) + -3a = 4a + -2(a + -5) (-25 + 10a) + -3a = 4a + -2(a + -5) Combine like terms: 10a + -3a = 7a -25 + 7a = 4a + -2(a + -5) Reorder the terms: -25 + 7a = 4a + -2(-5 + a) -25 + 7a = 4a + (-5 * -2 + a * -2) -25 + 7a = 4a + (10 + -2a) Reorder the terms: -25 + 7a = 10 + 4a + -2a Combine like terms: 4a + -2a = 2a -25 + 7a = 10 + 2a Solving -25 + 7a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -25 + 7a + -2a = 10 + 2a + -2a Combine like terms: 7a + -2a = 5a -25 + 5a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 -25 + 5a = 10 + 0 -25 + 5a = 10 Add '25' to each side of the equation. -25 + 25 + 5a = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 5a = 10 + 25 5a = 10 + 25 Combine like terms: 10 + 25 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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