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Simplifying 22 + 6t = 7(t + 4) Reorder the terms: 22 + 6t = 7(4 + t) 22 + 6t = (4 * 7 + t * 7) 22 + 6t = (28 + 7t) Solving 22 + 6t = 28 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 22 + 6t + -7t = 28 + 7t + -7t Combine like terms: 6t + -7t = -1t 22 + -1t = 28 + 7t + -7t Combine like terms: 7t + -7t = 0 22 + -1t = 28 + 0 22 + -1t = 28 Add '-22' to each side of the equation. 22 + -22 + -1t = 28 + -22 Combine like terms: 22 + -22 = 0 0 + -1t = 28 + -22 -1t = 28 + -22 Combine like terms: 28 + -22 = 6 -1t = 6 Divide each side by '-1'. t = -6 Simplifying t = -6
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