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Simplifying 7(a + -3) = 11 + -7a Reorder the terms: 7(-3 + a) = 11 + -7a (-3 * 7 + a * 7) = 11 + -7a (-21 + 7a) = 11 + -7a Solving -21 + 7a = 11 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -21 + 7a + 7a = 11 + -7a + 7a Combine like terms: 7a + 7a = 14a -21 + 14a = 11 + -7a + 7a Combine like terms: -7a + 7a = 0 -21 + 14a = 11 + 0 -21 + 14a = 11 Add '21' to each side of the equation. -21 + 21 + 14a = 11 + 21 Combine like terms: -21 + 21 = 0 0 + 14a = 11 + 21 14a = 11 + 21 Combine like terms: 11 + 21 = 32 14a = 32 Divide each side by '14'. a = 2.285714286 Simplifying a = 2.285714286
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