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Simplifying 10(a + -4) + -28(a + -2) = 14(5a + 20) Reorder the terms: 10(-4 + a) + -28(a + -2) = 14(5a + 20) (-4 * 10 + a * 10) + -28(a + -2) = 14(5a + 20) (-40 + 10a) + -28(a + -2) = 14(5a + 20) Reorder the terms: -40 + 10a + -28(-2 + a) = 14(5a + 20) -40 + 10a + (-2 * -28 + a * -28) = 14(5a + 20) -40 + 10a + (56 + -28a) = 14(5a + 20) Reorder the terms: -40 + 56 + 10a + -28a = 14(5a + 20) Combine like terms: -40 + 56 = 16 16 + 10a + -28a = 14(5a + 20) Combine like terms: 10a + -28a = -18a 16 + -18a = 14(5a + 20) Reorder the terms: 16 + -18a = 14(20 + 5a) 16 + -18a = (20 * 14 + 5a * 14) 16 + -18a = (280 + 70a) Solving 16 + -18a = 280 + 70a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70a' to each side of the equation. 16 + -18a + -70a = 280 + 70a + -70a Combine like terms: -18a + -70a = -88a 16 + -88a = 280 + 70a + -70a Combine like terms: 70a + -70a = 0 16 + -88a = 280 + 0 16 + -88a = 280 Add '-16' to each side of the equation. 16 + -16 + -88a = 280 + -16 Combine like terms: 16 + -16 = 0 0 + -88a = 280 + -16 -88a = 280 + -16 Combine like terms: 280 + -16 = 264 -88a = 264 Divide each side by '-88'. a = -3 Simplifying a = -3
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