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Simplifying 7 + 4(a + -3) = 14(-1a + 4) Reorder the terms: 7 + 4(-3 + a) = 14(-1a + 4) 7 + (-3 * 4 + a * 4) = 14(-1a + 4) 7 + (-12 + 4a) = 14(-1a + 4) Combine like terms: 7 + -12 = -5 -5 + 4a = 14(-1a + 4) Reorder the terms: -5 + 4a = 14(4 + -1a) -5 + 4a = (4 * 14 + -1a * 14) -5 + 4a = (56 + -14a) Solving -5 + 4a = 56 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. -5 + 4a + 14a = 56 + -14a + 14a Combine like terms: 4a + 14a = 18a -5 + 18a = 56 + -14a + 14a Combine like terms: -14a + 14a = 0 -5 + 18a = 56 + 0 -5 + 18a = 56 Add '5' to each side of the equation. -5 + 5 + 18a = 56 + 5 Combine like terms: -5 + 5 = 0 0 + 18a = 56 + 5 18a = 56 + 5 Combine like terms: 56 + 5 = 61 18a = 61 Divide each side by '18'. a = 3.388888889 Simplifying a = 3.388888889
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