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Simplifying -10(a + 9) = -4 + -1(a + -4) Reorder the terms: -10(9 + a) = -4 + -1(a + -4) (9 * -10 + a * -10) = -4 + -1(a + -4) (-90 + -10a) = -4 + -1(a + -4) Reorder the terms: -90 + -10a = -4 + -1(-4 + a) -90 + -10a = -4 + (-4 * -1 + a * -1) -90 + -10a = -4 + (4 + -1a) Combine like terms: -4 + 4 = 0 -90 + -10a = 0 + -1a -90 + -10a = -1a Solving -90 + -10a = -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -90 + -10a + a = -1a + a Combine like terms: -10a + a = -9a -90 + -9a = -1a + a Combine like terms: -1a + a = 0 -90 + -9a = 0 Add '90' to each side of the equation. -90 + 90 + -9a = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -9a = 0 + 90 -9a = 0 + 90 Combine like terms: 0 + 90 = 90 -9a = 90 Divide each side by '-9'. a = -10 Simplifying a = -10
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