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Simplifying (7t + -21) + (-1a + -5) = -16 Reorder the terms: (-21 + 7t) + (-1a + -5) = -16 Remove parenthesis around (-21 + 7t) -21 + 7t + (-1a + -5) = -16 Reorder the terms: -21 + 7t + (-5 + -1a) = -16 Remove parenthesis around (-5 + -1a) -21 + 7t + -5 + -1a = -16 Reorder the terms: -21 + -5 + -1a + 7t = -16 Combine like terms: -21 + -5 = -26 -26 + -1a + 7t = -16 Solving -26 + -1a + 7t = -16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26' to each side of the equation. -26 + -1a + 26 + 7t = -16 + 26 Reorder the terms: -26 + 26 + -1a + 7t = -16 + 26 Combine like terms: -26 + 26 = 0 0 + -1a + 7t = -16 + 26 -1a + 7t = -16 + 26 Combine like terms: -16 + 26 = 10 -1a + 7t = 10 Add '-7t' to each side of the equation. -1a + 7t + -7t = 10 + -7t Combine like terms: 7t + -7t = 0 -1a + 0 = 10 + -7t -1a = 10 + -7t Divide each side by '-1'. a = -10 + 7t Simplifying a = -10 + 7t
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