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Simplifying 4(a + -1) + -21(a + -5) = 14(3a + 6) Reorder the terms: 4(-1 + a) + -21(a + -5) = 14(3a + 6) (-1 * 4 + a * 4) + -21(a + -5) = 14(3a + 6) (-4 + 4a) + -21(a + -5) = 14(3a + 6) Reorder the terms: -4 + 4a + -21(-5 + a) = 14(3a + 6) -4 + 4a + (-5 * -21 + a * -21) = 14(3a + 6) -4 + 4a + (105 + -21a) = 14(3a + 6) Reorder the terms: -4 + 105 + 4a + -21a = 14(3a + 6) Combine like terms: -4 + 105 = 101 101 + 4a + -21a = 14(3a + 6) Combine like terms: 4a + -21a = -17a 101 + -17a = 14(3a + 6) Reorder the terms: 101 + -17a = 14(6 + 3a) 101 + -17a = (6 * 14 + 3a * 14) 101 + -17a = (84 + 42a) Solving 101 + -17a = 84 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 101 + -17a + -42a = 84 + 42a + -42a Combine like terms: -17a + -42a = -59a 101 + -59a = 84 + 42a + -42a Combine like terms: 42a + -42a = 0 101 + -59a = 84 + 0 101 + -59a = 84 Add '-101' to each side of the equation. 101 + -101 + -59a = 84 + -101 Combine like terms: 101 + -101 = 0 0 + -59a = 84 + -101 -59a = 84 + -101 Combine like terms: 84 + -101 = -17 -59a = -17 Divide each side by '-59'. a = 0.2881355932 Simplifying a = 0.2881355932
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