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Simplifying -5(a + 1) = 49(a + 10) Reorder the terms: -5(1 + a) = 49(a + 10) (1 * -5 + a * -5) = 49(a + 10) (-5 + -5a) = 49(a + 10) Reorder the terms: -5 + -5a = 49(10 + a) -5 + -5a = (10 * 49 + a * 49) -5 + -5a = (490 + 49a) Solving -5 + -5a = 490 + 49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49a' to each side of the equation. -5 + -5a + -49a = 490 + 49a + -49a Combine like terms: -5a + -49a = -54a -5 + -54a = 490 + 49a + -49a Combine like terms: 49a + -49a = 0 -5 + -54a = 490 + 0 -5 + -54a = 490 Add '5' to each side of the equation. -5 + 5 + -54a = 490 + 5 Combine like terms: -5 + 5 = 0 0 + -54a = 490 + 5 -54a = 490 + 5 Combine like terms: 490 + 5 = 495 -54a = 495 Divide each side by '-54'. a = -9.166666667 Simplifying a = -9.166666667
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