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Simplifying 5a + 4(3m + -8) = 4 + 13a Reorder the terms: 5a + 4(-8 + 3m) = 4 + 13a 5a + (-8 * 4 + 3m * 4) = 4 + 13a 5a + (-32 + 12m) = 4 + 13a Reorder the terms: -32 + 5a + 12m = 4 + 13a Solving -32 + 5a + 12m = 4 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -32 + 5a + -13a + 12m = 4 + 13a + -13a Combine like terms: 5a + -13a = -8a -32 + -8a + 12m = 4 + 13a + -13a Combine like terms: 13a + -13a = 0 -32 + -8a + 12m = 4 + 0 -32 + -8a + 12m = 4 Add '32' to each side of the equation. -32 + -8a + 32 + 12m = 4 + 32 Reorder the terms: -32 + 32 + -8a + 12m = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -8a + 12m = 4 + 32 -8a + 12m = 4 + 32 Combine like terms: 4 + 32 = 36 -8a + 12m = 36 Add '-12m' to each side of the equation. -8a + 12m + -12m = 36 + -12m Combine like terms: 12m + -12m = 0 -8a + 0 = 36 + -12m -8a = 36 + -12m Divide each side by '-8'. a = -4.5 + 1.5m Simplifying a = -4.5 + 1.5m
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