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Simplifying 3(a + 22) = 13a + 30 Reorder the terms: 3(22 + a) = 13a + 30 (22 * 3 + a * 3) = 13a + 30 (66 + 3a) = 13a + 30 Reorder the terms: 66 + 3a = 30 + 13a Solving 66 + 3a = 30 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 66 + 3a + -13a = 30 + 13a + -13a Combine like terms: 3a + -13a = -10a 66 + -10a = 30 + 13a + -13a Combine like terms: 13a + -13a = 0 66 + -10a = 30 + 0 66 + -10a = 30 Add '-66' to each side of the equation. 66 + -66 + -10a = 30 + -66 Combine like terms: 66 + -66 = 0 0 + -10a = 30 + -66 -10a = 30 + -66 Combine like terms: 30 + -66 = -36 -10a = -36 Divide each side by '-10'. a = 3.6 Simplifying a = 3.6
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