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Simplifying 7(a + -8) + 24 = 4(a + -5) Reorder the terms: 7(-8 + a) + 24 = 4(a + -5) (-8 * 7 + a * 7) + 24 = 4(a + -5) (-56 + 7a) + 24 = 4(a + -5) Reorder the terms: -56 + 24 + 7a = 4(a + -5) Combine like terms: -56 + 24 = -32 -32 + 7a = 4(a + -5) Reorder the terms: -32 + 7a = 4(-5 + a) -32 + 7a = (-5 * 4 + a * 4) -32 + 7a = (-20 + 4a) Solving -32 + 7a = -20 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -32 + 7a + -4a = -20 + 4a + -4a Combine like terms: 7a + -4a = 3a -32 + 3a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 -32 + 3a = -20 + 0 -32 + 3a = -20 Add '32' to each side of the equation. -32 + 32 + 3a = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 3a = -20 + 32 3a = -20 + 32 Combine like terms: -20 + 32 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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