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Simplifying 8(2a + -3) = 2(-3a + -1) Reorder the terms: 8(-3 + 2a) = 2(-3a + -1) (-3 * 8 + 2a * 8) = 2(-3a + -1) (-24 + 16a) = 2(-3a + -1) Reorder the terms: -24 + 16a = 2(-1 + -3a) -24 + 16a = (-1 * 2 + -3a * 2) -24 + 16a = (-2 + -6a) Solving -24 + 16a = -2 + -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. -24 + 16a + 6a = -2 + -6a + 6a Combine like terms: 16a + 6a = 22a -24 + 22a = -2 + -6a + 6a Combine like terms: -6a + 6a = 0 -24 + 22a = -2 + 0 -24 + 22a = -2 Add '24' to each side of the equation. -24 + 24 + 22a = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 22a = -2 + 24 22a = -2 + 24 Combine like terms: -2 + 24 = 22 22a = 22 Divide each side by '22'. a = 1 Simplifying a = 1
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