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Simplifying 10(a + -4) + -7(a + -2) = 14(2a + 8) Reorder the terms: 10(-4 + a) + -7(a + -2) = 14(2a + 8) (-4 * 10 + a * 10) + -7(a + -2) = 14(2a + 8) (-40 + 10a) + -7(a + -2) = 14(2a + 8) Reorder the terms: -40 + 10a + -7(-2 + a) = 14(2a + 8) -40 + 10a + (-2 * -7 + a * -7) = 14(2a + 8) -40 + 10a + (14 + -7a) = 14(2a + 8) Reorder the terms: -40 + 14 + 10a + -7a = 14(2a + 8) Combine like terms: -40 + 14 = -26 -26 + 10a + -7a = 14(2a + 8) Combine like terms: 10a + -7a = 3a -26 + 3a = 14(2a + 8) Reorder the terms: -26 + 3a = 14(8 + 2a) -26 + 3a = (8 * 14 + 2a * 14) -26 + 3a = (112 + 28a) Solving -26 + 3a = 112 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -26 + 3a + -28a = 112 + 28a + -28a Combine like terms: 3a + -28a = -25a -26 + -25a = 112 + 28a + -28a Combine like terms: 28a + -28a = 0 -26 + -25a = 112 + 0 -26 + -25a = 112 Add '26' to each side of the equation. -26 + 26 + -25a = 112 + 26 Combine like terms: -26 + 26 = 0 0 + -25a = 112 + 26 -25a = 112 + 26 Combine like terms: 112 + 26 = 138 -25a = 138 Divide each side by '-25'. a = -5.52 Simplifying a = -5.52
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