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Simplifying -21 + -2a = 6(-7 + -1a) + 1 -21 + -2a = (-7 * 6 + -1a * 6) + 1 -21 + -2a = (-42 + -6a) + 1 Reorder the terms: -21 + -2a = -42 + 1 + -6a Combine like terms: -42 + 1 = -41 -21 + -2a = -41 + -6a Solving -21 + -2a = -41 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -21 + -2a + 6a = -41 + -6a + 6a Combine like terms: -2a + 6a = 4a -21 + 4a = -41 + -6a + 6a Combine like terms: -6a + 6a = 0 -21 + 4a = -41 + 0 -21 + 4a = -41 Add '21' to each side of the equation. -21 + 21 + 4a = -41 + 21 Combine like terms: -21 + 21 = 0 0 + 4a = -41 + 21 4a = -41 + 21 Combine like terms: -41 + 21 = -20 4a = -20 Divide each side by '4'. a = -5 Simplifying a = -5
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