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Simplifying -5(t + 3) = -1 + (t + -3) Reorder the terms: -5(3 + t) = -1 + (t + -3) (3 * -5 + t * -5) = -1 + (t + -3) (-15 + -5t) = -1 + (t + -3) Reorder the terms: -15 + -5t = -1 + (-3 + t) Remove parenthesis around (-3 + t) -15 + -5t = -1 + -3 + t Combine like terms: -1 + -3 = -4 -15 + -5t = -4 + t Solving -15 + -5t = -4 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -15 + -5t + -1t = -4 + t + -1t Combine like terms: -5t + -1t = -6t -15 + -6t = -4 + t + -1t Combine like terms: t + -1t = 0 -15 + -6t = -4 + 0 -15 + -6t = -4 Add '15' to each side of the equation. -15 + 15 + -6t = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -6t = -4 + 15 -6t = -4 + 15 Combine like terms: -4 + 15 = 11 -6t = 11 Divide each side by '-6'. t = -1.833333333 Simplifying t = -1.833333333
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