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Simplifying 2a + -3(4a + 5) = -6(a + -3) + -1 Reorder the terms: 2a + -3(5 + 4a) = -6(a + -3) + -1 2a + (5 * -3 + 4a * -3) = -6(a + -3) + -1 2a + (-15 + -12a) = -6(a + -3) + -1 Reorder the terms: -15 + 2a + -12a = -6(a + -3) + -1 Combine like terms: 2a + -12a = -10a -15 + -10a = -6(a + -3) + -1 Reorder the terms: -15 + -10a = -6(-3 + a) + -1 -15 + -10a = (-3 * -6 + a * -6) + -1 -15 + -10a = (18 + -6a) + -1 Reorder the terms: -15 + -10a = 18 + -1 + -6a Combine like terms: 18 + -1 = 17 -15 + -10a = 17 + -6a Solving -15 + -10a = 17 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -15 + -10a + 6a = 17 + -6a + 6a Combine like terms: -10a + 6a = -4a -15 + -4a = 17 + -6a + 6a Combine like terms: -6a + 6a = 0 -15 + -4a = 17 + 0 -15 + -4a = 17 Add '15' to each side of the equation. -15 + 15 + -4a = 17 + 15 Combine like terms: -15 + 15 = 0 0 + -4a = 17 + 15 -4a = 17 + 15 Combine like terms: 17 + 15 = 32 -4a = 32 Divide each side by '-4'. a = -8 Simplifying a = -8
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