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Simplifying 4(a + -6) = 8a + -1(49 + -24) Reorder the terms: 4(-6 + a) = 8a + -1(49 + -24) (-6 * 4 + a * 4) = 8a + -1(49 + -24) (-24 + 4a) = 8a + -1(49 + -24) Combine like terms: 49 + -24 = 25 -24 + 4a = 8a + -1(25) Multiply -1 * 25 -24 + 4a = 8a + -25 Reorder the terms: -24 + 4a = -25 + 8a Solving -24 + 4a = -25 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -24 + 4a + -8a = -25 + 8a + -8a Combine like terms: 4a + -8a = -4a -24 + -4a = -25 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + -4a = -25 + 0 -24 + -4a = -25 Add '24' to each side of the equation. -24 + 24 + -4a = -25 + 24 Combine like terms: -24 + 24 = 0 0 + -4a = -25 + 24 -4a = -25 + 24 Combine like terms: -25 + 24 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25
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