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Simplifying 57 = 3(4a + -7) + -6(-7a + -4) Reorder the terms: 57 = 3(-7 + 4a) + -6(-7a + -4) 57 = (-7 * 3 + 4a * 3) + -6(-7a + -4) 57 = (-21 + 12a) + -6(-7a + -4) Reorder the terms: 57 = -21 + 12a + -6(-4 + -7a) 57 = -21 + 12a + (-4 * -6 + -7a * -6) 57 = -21 + 12a + (24 + 42a) Reorder the terms: 57 = -21 + 24 + 12a + 42a Combine like terms: -21 + 24 = 3 57 = 3 + 12a + 42a Combine like terms: 12a + 42a = 54a 57 = 3 + 54a Solving 57 = 3 + 54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. 57 + -54a = 3 + 54a + -54a Combine like terms: 54a + -54a = 0 57 + -54a = 3 + 0 57 + -54a = 3 Add '-57' to each side of the equation. 57 + -57 + -54a = 3 + -57 Combine like terms: 57 + -57 = 0 0 + -54a = 3 + -57 -54a = 3 + -57 Combine like terms: 3 + -57 = -54 -54a = -54 Divide each side by '-54'. a = 1 Simplifying a = 1
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