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Simplifying 3(a + -1) + -5(2a + 1) + 3 = 5 + -5a Reorder the terms: 3(-1 + a) + -5(2a + 1) + 3 = 5 + -5a (-1 * 3 + a * 3) + -5(2a + 1) + 3 = 5 + -5a (-3 + 3a) + -5(2a + 1) + 3 = 5 + -5a Reorder the terms: -3 + 3a + -5(1 + 2a) + 3 = 5 + -5a -3 + 3a + (1 * -5 + 2a * -5) + 3 = 5 + -5a -3 + 3a + (-5 + -10a) + 3 = 5 + -5a Reorder the terms: -3 + -5 + 3 + 3a + -10a = 5 + -5a Combine like terms: -3 + -5 = -8 -8 + 3 + 3a + -10a = 5 + -5a Combine like terms: -8 + 3 = -5 -5 + 3a + -10a = 5 + -5a Combine like terms: 3a + -10a = -7a -5 + -7a = 5 + -5a Solving -5 + -7a = 5 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -5 + -7a + 5a = 5 + -5a + 5a Combine like terms: -7a + 5a = -2a -5 + -2a = 5 + -5a + 5a Combine like terms: -5a + 5a = 0 -5 + -2a = 5 + 0 -5 + -2a = 5 Add '5' to each side of the equation. -5 + 5 + -2a = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = 5 + 5 -2a = 5 + 5 Combine like terms: 5 + 5 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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