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Simplifying -22 + -7a = 4(-1a + -4) + -6a Reorder the terms: -22 + -7a = 4(-4 + -1a) + -6a -22 + -7a = (-4 * 4 + -1a * 4) + -6a -22 + -7a = (-16 + -4a) + -6a Combine like terms: -4a + -6a = -10a -22 + -7a = -16 + -10a Solving -22 + -7a = -16 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -22 + -7a + 10a = -16 + -10a + 10a Combine like terms: -7a + 10a = 3a -22 + 3a = -16 + -10a + 10a Combine like terms: -10a + 10a = 0 -22 + 3a = -16 + 0 -22 + 3a = -16 Add '22' to each side of the equation. -22 + 22 + 3a = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 3a = -16 + 22 3a = -16 + 22 Combine like terms: -16 + 22 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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