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Simplifying 5(7a + -4) + -42a + 7(-3a + 8) + -16 + 7a = 0 Reorder the terms: 5(-4 + 7a) + -42a + 7(-3a + 8) + -16 + 7a = 0 (-4 * 5 + 7a * 5) + -42a + 7(-3a + 8) + -16 + 7a = 0 (-20 + 35a) + -42a + 7(-3a + 8) + -16 + 7a = 0 Reorder the terms: -20 + 35a + -42a + 7(8 + -3a) + -16 + 7a = 0 -20 + 35a + -42a + (8 * 7 + -3a * 7) + -16 + 7a = 0 -20 + 35a + -42a + (56 + -21a) + -16 + 7a = 0 Reorder the terms: -20 + 56 + -16 + 35a + -42a + -21a + 7a = 0 Combine like terms: -20 + 56 = 36 36 + -16 + 35a + -42a + -21a + 7a = 0 Combine like terms: 36 + -16 = 20 20 + 35a + -42a + -21a + 7a = 0 Combine like terms: 35a + -42a = -7a 20 + -7a + -21a + 7a = 0 Combine like terms: -7a + -21a = -28a 20 + -28a + 7a = 0 Combine like terms: -28a + 7a = -21a 20 + -21a = 0 Solving 20 + -21a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -21a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -21a = 0 + -20 -21a = 0 + -20 Combine like terms: 0 + -20 = -20 -21a = -20 Divide each side by '-21'. a = 0.9523809524 Simplifying a = 0.9523809524
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