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Simplifying 4 + -3(2a + 3) + -5 = 2a + 1 Reorder the terms: 4 + -3(3 + 2a) + -5 = 2a + 1 4 + (3 * -3 + 2a * -3) + -5 = 2a + 1 4 + (-9 + -6a) + -5 = 2a + 1 Reorder the terms: 4 + -9 + -5 + -6a = 2a + 1 Combine like terms: 4 + -9 = -5 -5 + -5 + -6a = 2a + 1 Combine like terms: -5 + -5 = -10 -10 + -6a = 2a + 1 Reorder the terms: -10 + -6a = 1 + 2a Solving -10 + -6a = 1 + 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. -10 + -6a + -2a = 1 + 2a + -2a Combine like terms: -6a + -2a = -8a -10 + -8a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + -8a = 1 + 0 -10 + -8a = 1 Add '10' to each side of the equation. -10 + 10 + -8a = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -8a = 1 + 10 -8a = 1 + 10 Combine like terms: 1 + 10 = 11 -8a = 11 Divide each side by '-8'. a = -1.375 Simplifying a = -1.375
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